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Calculating volume of concrete, dirt, sand, anything. 2006-11-17
From Debbie:
[This article contains a special calculator to help you find the volume (for example, the cubic yards) of material required to fill (or empty) a space if you know the length, width and depth.]
We are wanting to pour a 24'x30' slab that is 5" deep. How many cubic yards of cement do we need?

Answered by Penny Nom.
Using a bucket to fill a tub 2014-08-27
From Charlotte:
A bathtub needs to be filled with water. To fill the tub, a bucket needs to be filled then dumped into the tub. If the bucket is a cylinder with a radius of 6 in. and a height of 12 in, how many buckets will it take to fill the 5 ft x 3 ft x 3 ft tub.
Answered by Penny Nom.
Bags of sand 2014-06-06
From Robert:
We have a section that is 20ft long by 14ft wide and 4inches deep, the bags of sand are .5 cubic ft. How many bags of sand do we need to fill this space evenly.
Answered by Penny Nom.
The volume of a wedge 2014-05-21
From steve:
I need to figure the volume of a wedge / right triangle, the dimensions of the right triangle is L1(10'-5"), L2 (10'-6"), H (14'-9.5") height of L1 is 0'-0" height at intersect L2/H is 3'-3"
Answered by Penny Nom.
The volume of hexagonal pyramid and hexagonal prism 2014-05-18
From visshwam:
how to find volume of hexagonal pyramid and hexagonal prism? my measurements are each side of pyramid's triangle is 1"x2"x2".

hexagon prism is 2"x1" each side

Answered by Penny Nom.
The volume and radius of a sphere 2014-04-27
From grace:
How do you find the radius of a sphere when all you know is the volume?
Answered by Penny Nom.
A frustum of a pyramid with a square base 2014-04-18
From tuba:
a pyramid has a base of 10 m and is 15 m high.what is the volume? if 6m is removed from top what is the volume of the remaining frustum?
Answered by Penny Nom.
A sand trench around a pool 2014-04-13
From steve:
How sand is needed to back fill a trench around a 24ft dia. pool that is 26" deep by 2ft wide. Making the outside dia. 26ft.

Thank You

Answered by Penny Nom.
A formula for determining concrete volume in cu. yd. 2014-03-19
From Steven:
I know a couple of formulas for determining concrete volume in cu.yd. the one I use most frequently is length in feet x width in feet x thickness in inch. Divided by 324. It works every time. Where does the number 324 come from.
Answered by Penny Nom.
2 rectangular prisms are similar by a scale of 0.75 2014-03-16
From gina:
2 rectangular prisms are similar by a scale of 0.75. The volume of the smaller prism is 27cm3 (cubed). How many cubic centimeters is the volume of the larger prism?
Answered by Penny Nom.
The volume of scale in a pipe 2014-03-08
From Sid:
What is the estimated volume of scale (Liters) if you have a 12 inch ID pipe,300 feet long with scale 1/2 inch thick. Please show me the method and formula. Thank you for your assistance.
Answered by Penny Nom.
The volume of a cone 2014-02-08
From hibba:
why is the volume of right circular cone divided by 3?
Answered by Penny Nom.
The volume of a frustum 2014-02-02
From mike:
volume of frustum R23", r 18", h 16"
Answered by Penny Nom.
A sloped concrete wall 2013-10-30
From Brad:
We are planning on pouring concrete in a wall form that is sloped. One end is 73 inches tall, and it tapers to 24 inches tall over a distance of 348 inches. It is flat on bottom and sides and is 12 inches thick. Thanks.
Answered by Penny Nom.
Cubic centimeters, milliliters and grams 2013-09-26
From Laura:
How do I find the volume of a cube with dimensions of .78 cm, .3 cm and .22 cm? Then find the volume in ML and the mass if filled with water?
Answered by Penny Nom.
If the earth was made of a ball of string 2013-09-18
From Tammy:
My 9 year old son asked me a question and I have no idea how to work it out! Please can you help?

If the earth was made of a ball of string and you unravelled the string how long would it be? Assuming the string is 5mm thick.

Answered by Penny Nom.
The volume of an attic 2013-09-18
From David:
I have small equipment hut that has a small attic space that I want to blow insulation into it.
The attic size is shaped like a triangle that is about 8 feet by 10 feet by 7 inches at the highest point.
I need to estimate the volume in square feet or cubic feet to know how many bags of insulation to blow into the space.
Thanks

Answered by Penny Nom.
Ordering crushed stone 2013-09-03
From Prakash:
Dear Sirs, I am working in a Soft Landscaping contracting company. If I need to purchase crushed stone with the size 50-70mm for $53,429 m^2$ area, how many 20feet containers should I need to order to my suppliers? The 20foot container has internal dimensions 5,897 mm by 2,348 mm by 2,285 mm and the $53,429 m^2$ area is to be covered by 10 cm of stone.
Answered by Harley Weston.
The volume of a pond 2013-08-14
From Kelly:
I have a pond that measures 335 feet wide, 385 feet long and 18 feet deep with a 4:1 slope on all four side. How do I figure out how many gallons of water this pond will hold?
Answered by Harley Weston.
A gravel pile in the shape of a triangular pyramid 2013-04-04
From Casey:
Hello
Right now I am stuck and I feel embarrassed because I feel like the answer is so easy I should know it.

I am working on a project and need to find a volume of gravel it will take to occupy this triangular prism like area. I am not sure what formulas I should use whether it be that for the volume of a pyramid or something more complex? Basically it forms a right triangle at one side then from there all points slope to one singular point about 10412mm away.
I am attaching a picture drawn up in paint with the actual dimensions to clear up any confusion.

Thank you for any help. Casey

Answered by Penny Nom.
Question 2013-04-04
From Casey:
Hello
Right now I am stuck and I feel embarrassed because I feel like the answer is so easy I should know it.

I am working on a project and need to find a volume of gravel it will take to occupy this triangular prism like area. I am not sure what formulas I should use whether it be that for the volume of a pyramid or something more complex? Basically it forms a right triangle at one side then from there all points slope to one singular point about 10412mm away.
I am attaching a picture drawn up in paint with the actual dimensions to clear up any confusion.

Thank you for any help. Casey

Answered by Penny Nom.
A large ditch 2013-01-11
From steve:
hi
i have a large ditch to make a road entrance accross, the ditch is a green field on one side and a highway on the other side the ditch depth is 1.8m on the field side and 3.2 on the highway side the culvert pipe is 1,2m in diameter are you with me so far? the entrance from the highway will be 26m wide tapering in to 6m - ,20 m in from the highway there will be a concrete slab of 150mm over the top

the fall from highway to field must not exceed 1/8

any ideas how much stone it will need

Answered by Harley Weston.
Filling a box with wood chips 2012-10-31
From lee-Anne:
Each bag of wood chippings will fill 4m3 how bags would be needed?
Volume of box is 572 cm3
L=11CM
W= 6.5CM
H=8CM

Answered by Penny Nom.
A tank with an inner walled compartment 2012-10-12
From don:
I have a tank 20 feet diameter, 19' 8" tall with an inner walled compartment that has a 7' 6" radius arc with in the tank. I need to figure out the volume of the inner area and the volume of the larger area.
Answered by Harley Weston.
Three piles of top soil 2012-10-07
From Steve:
I need your help please, I am looking to purchase some top soil and keep getting conflicting answers.
There are 3 piles and here are the sizes;
Pile #1: 203 feet around and 21.29 feet high.
Pile #2: 195 feet around and 18.75 feet high.
Pile #3: 150 feet around and 17.98 feet high.
I look forward to hearing back from you asap.
Thank You!
Steve

Answered by Harley Weston.
The volume of fluid in a tank 2012-09-06
From Dave:
I have vertical round flat bottom tanks of various dimensions. It is easy to find total volume but I would like to know how to figure out the coversion factor to go from how many centimeters of liquid is in the tank to the number of total cubic meters of volume. So if my float gauge on the tank says there is 50 cm of fluid in the tank, how many cubic meter of total volume is there?
Answered by Harley Weston.
Two cubes 2012-09-04
From alexis:
a cube has one face that is equal to the total surface area of another cube. Find the ratio of their volumes
Answered by Penny Nom.
The volume of a sphere 2012-08-18
From Rohit:
why isn't volume of a sphere = Area of a semicircle x the circumference. i.e. if we revolve a semicircle around its axis we get a sphere
Answered by Penny Nom.
The volume of half an ellipsoid 2012-08-10
From Darcy:
Hi, I need to calculate the volume of half an ellipsoid, split horizontally along the long axis. In effect, an oval shaped mound of soil. So the bottom would be an ellipse. I have the length, width and height measurements but not the formula. Thanks!
Answered by Robert Dawson and Walter Whiteley.
A pile of topsoil 2012-07-23
From Perry:
I have a pile of topsoil that is 42ft long and 16ft tall shaped like a cone how many yards of topsoil do I have.
Answered by Penny Nom.
A volume of revolution 2012-07-15
From Tewodros:
Let f(x) = e^x and g(x) = x^1/2 both be defined on [0,1]. Consider the region bounded by f(x), g(x), x = 0, x = 1. Rotate this region about the y-axis and determine the volume using the shell method.
Answered by Harley Weston.
A cubical tank 2012-07-07
From jake:
a storage tank is in the form of a cube. when it is full of water,the volume of water is 15.625 m cube. if the present depth of water is 1.3m, find the volume of water already used from tank
Answered by Penny Nom.
The volume of a wedge 2012-05-28
From olwethu:
volume of wedge that have side 3,3 cm and 6,2 cm and 20 cm long?
Answered by Penny Nom.
A pyramid on a regular hexagon 2012-04-14
From deepak:
There is pyramid on a base which is a regular hexagon of side 2a cm. If every slant edge of this pyramid is of length 5a/2 cm, than what will be the volume of this pyramid
Answered by Penny Nom.
A lot with a slope 2012-03-30
From Carlos:
I have a lot with a slope. On the right I need to bring it up 2', From that point to the left is 112' which at this point I need to bring it up 5' for it to be level . The distance front to back is 80'. What is the cubic yards of this area that I need to fill in.
Answered by Harley Weston.
A trapezoidal prism filled with sand 2012-03-12
From Maria:
could a Trapezoid that is 80 inches high with a 54 inch width top and a 89 inch width bottom and a 80 inch depth hold 58 cubic yards of sand?
Answered by Robert Dawson.
A water tank is in the shape of a truncated cone 2012-03-08
From Victoria:
Suppose you have a water tank in the shape of a truncated cone. The larger diameter is K, the smaller diameter is K/2, and the height is also K (all measured in meters). The force of gravity on an object of mass, m, is F=9.8m (measured in Newtons). The density of the water is 1000 kilograms per cubic meter. What is the volume of the tank and how much mass will the tank have when it is full?
Answered by Penny Nom.
Measuring the liquid in a horizontal tank 2012-02-28
From Philip:
I have a steel gas tank that is 3' dia X 5' length. The total volume is 1000 litres. But how much is left when I use a stick and measure 6" from the bottom or 12" or 24" ?? Is there a formula to use for this task?

Thanks.

Answered by Harley Weston.
The volume of an irregular tetrahedron 2012-02-22
From Brittany:
If I am given an irregular tetrahedron with the coordinates of the 4 points how do I find the volume? For example I am asked to find the volume and only given the points A(-4,-3,5), B(2,-1,2), C(0,-5,0), and D(-2,0,0) can you shown me the working and formular to find the volume?
Answered by Robert Dawson.
The volume of a round tube 2012-02-07
From I.C:
I need to find out how long a 10" round tube needs to be in order for there to be .95 cubic feet of air space
Answered by Harley Weston.
A rectangular block and a sphere 2012-02-02
From snehal:
a solid rectangular block of metal 49 cm. by 44cm. 18cm. is melted and formed into a solid sphere, find the radius of the sphere[22/7]
Answered by Penny Nom.
The volume of a dugout 2012-01-28
From Jan:
is there a formula for calculating the cubic yardage removed from a dugout for example that is forty feet wide by one hundred and twenty feet long by twelve feet deep with a three to one slope? It is the slope that makes it a little tricky. Thank you.
Answered by Penny Nom.
How many gallons of water to fill my pool? 2012-01-13
From Don:
How many gallons of water do you need to fill a 22 feet long and 13 feet wide rectangular pool if it is 3 feet deep on one end and 7 feet deep on the other end?
Answered by Penny Nom.
A volume of revolution 2012-01-11
From john:
find volume of solid generated by revolving the region in the first quadrant bounded by the curve y squared=x cubed, the line x=4 and the x-axis about the line y=8. The answer in the back of the book is 704 pi divided by5
Answered by Penny Nom.
The volume of a frustum of a cone 2011-12-24
From CV:
If I know the height, taper, and volume of a frustum cone, what are its Radii?

Calculating frustum cone volume is straight forward.
v=Pi/3*h*(R*R+r*r+R*r) where;
v=volume;
h=frustum height;
R=major radius;
r=minor radius;
Pi=3.1415926;
t=taper, ('slant angle' where t=0 is a disk)

Here is the tricky part.
Knowing 'h', 't', & 'v';
Calculate one or both of 'R' & 'r'.

Specifically, what is the formula for 'R=' or 'r='?

Answered by Penny Nom.
The volume of a cylinder 2011-12-22
From luke:
what is the volume of a cylinder that is 30 mm in diameter and 70 cm high?

can you please write the equation out in full for me to help understand it better. thanks

Answered by Penny Nom.
The volume of a berm 2011-11-04
From Roy:
I need to know how many cubic yards are in a berm 100 ft long 8 ft high and 32 ft wide at the bottom? Looking from the end of the berm it would look like a trangle. Thanks for the help.
Answered by Penny Nom.
Two great circles 2011-10-06
From Jean:
"Two great circles lying in planes that are perpendicular to each other are drawn on a wooden sphere of radius "a". Part of the sphere is then shaved off in such a way that each cross section of the remaining solid that is perpendicular to the common diameter of the two great circles is a square whose vertices lie on these circles. Find the volume of this solid."

I don't understand the geometry of the problem. Can you please explain the problem and if possible draw a diagram for me ?

Answered by Chris Fisher.
The volume of a hexagonal prism 2011-09-19
From Denise:
I am being asked to find the volume of a hexagonal prism, base edges are 3cm, and a height of 15cm. The book that I am working from says that the answer is 77.94cm(cubed) but no matter what the equation I use I always get the answer 116.9/117. Please help! Thank you!
Answered by Penny Nom.
A concrete octagonal pad 2011-08-04
From Tina:
I have a project where I need to construct a concrete octagonal pad. Each side is 12' and it is 5" deep. Please tell me how to calculate square yards of concrete. Thank you.
Answered by Penny Nom.
The volume of a decagonal prism 2011-05-29
From Susan:
How do you find the volume of a decagonal prism?
Answered by Penny Nom.
A pipe in a ditch 2011-05-19
From Jim:
How many cubic feet of stone will it take to fill to six inches around a 4 inch pipe in a ditch 128 ft long x 20 in wide?
Answered by Penny Nom.
The volume of a triangular shaped aquarium 2011-05-07
From Jeff:
HI, I searched the site but really couldn't find my answer, at least that I could understand! I have a triangular shaped aquarium ( think of a cube, except its an equal triangle shape). all 3 sides are 48 inches, and it is 34" tall. Can you please tell me what the volume is in gallons? Thanks!
Answered by Penny Nom.
A trough of water 2011-05-01
From alvin:
A trough is formed by nailing together, edge to edge, two boards 11 ft. in length, so that the right section is a right triangle. If a 15 gallon of water are poured into the trough and if the trough is held level so that a right section of water is an isosceles right triangle, how deep is the water? (231cu.in=1 gal.)
Answered by Penny Nom.
The volume of a triangular pyramid 2011-04-15
From Chelsea:
There is a triangular pyramid which is an equilateral on the base with all sides 16.5 and the height is 25. I have to find the volume. Please help!
Answered by Penny Nom.
The volume of a hopper 2011-04-13
From michael:
I have a tank that is 72" x 72" at the top and 10" x 10" at the bottom and is 31" tall. I need to calculate the cubic feet of the tank
Answered by Penny Nom.
The volume of a flower pot 2011-04-07
From kp:
I have 2 flower pots with the following dimensions that I am trying to calculate the volume of Soil I will need to fill them. pot #1 29"tall, top of pot 31.5 inches across( radius of 15.5") the bottom of the pot is 21"across (radius 10.5) Pot #2 29"tall, top of pot 26 across (radius 13") the bottom of the pot 17'"a cross (radius 8.5")
thank you
KP

Answered by Penny Nom.
Volume of concrete 2011-04-03
From john:
I have 1200 square foot that i need to fill at 4 inches deep. how many cubic yards of concrete will i need? and how do I figure this?
Answered by Penny Nom.
A cubic inch 2011-03-13
From wyatt:
what is a cubic inch?
Answered by Penny Nom.
How much gravel do I need to make it level? 2011-02-22
From Robert:
I have an area that is 55 feet long x 75 feet wide and goes from 0 to 13 inches deep. How much gravel do I need to make it level?
Answered by Penny Nom.
Two conical tanks 2011-02-17
From rustom:
Two vertical conical tanks (both inverted) have their vertices connected by a short horizontal pipe. One tank, initially full of water, has an altitude of 6 ft. and a diameter of base 7 ft. The other tank, initially empty, has an altitude of 9 ft., and a diameter of base 8 ft. If the water is allowed to flow through the connecting pipe, find the level to which the water will ultimately rise in the empty tank (Neglect the water in the pipe.)
Answered by Penny Nom.
Calibrating a conical tank 2011-02-05
From Bill:
Hi, I have a round tank with tapered sides where I know the diameter at the top and bottom. Is there a formula I can use to calculate the volume by measuring from the bottom up the side (at the angle of the side) to any given point? Thanks, Bill
Answered by Stephen La Rocque and Penny Nom.
Flipping a cone over 2011-01-17
From Fionna:
The height of your cone is "x". Holding the cone so that the vertex is at the bottom, fill it half full with water. The depth of the water is "1/2x". Put a lid over the top, and flip it over. What is the new depth of the water, now that the cone is flipped?
Answered by Penny Nom.
The volume of a smokestack 2011-01-13
From tom:
The outer protective smokestack of a steamship is streamlined so that it has uniform oval section parallel to the deck. The area of this oval section is 48 sq. ft . If the length of the stack is 15 ft. and the stack is raked aft so that its axis at its upper end is horizontally 4.2 ft from the lower end, find the volume enclosed by the stack.
Answered by Penny Nom.
Area and volume of a parallelepiped 2010-12-14
From ryan:
Got a question, I'm really confused what the question mean and how the diagram would look like... someone please help... Here's the question.

The base of a parallelepiped is a rectangle 4m by 6m. If its lateral edge is 8m and is inclined at an angle 45 degrees to a 6m edge of the base, find the total area and volume of its parallelepiped.

My dilemma is what does it mean by the lateral edge of 8m is inclined at 45 degrees to a 6m edge of the base? Can someone post a diagram to help me solve the promble. Thanks in advance.

Answered by Chris Fisher.
A railway cut 2010-12-12
From jade:
the pennsylvania railroad found it necessary,owing to land slides upon the roadbed,to reduce the angle of inclination of one bank of certain railway cut near pittsburgh,pa.,from an original angle of 45 degrees to a new angle of 30 degrees. the bank as it originally stood was 200 ft.long and had a slant length of 60 ft.. find the amount of the earth removed, if the top level of the bank remained unchanged.
Answered by Penny Nom.
A water tank has the shape of a right circular cone 2010-12-07
From mike:
A water tank has the shape of a right circular cone with height 12 feet and radius 8 feet. Water is running into the tank so that the radius r (in feet) of the surface of the water is given by r=0.75t where t is the time (in minutes) that the water has been running. the volume V of the water is given by V=1/3 pi r^2h. Find V(t) and use it to determine the volume of the water when t=5 minutes.
Answered by Penny Nom.
How many gallons of water will it take to fill a classroom? 2010-12-01
From deena:
How many gallons of water will it take to fill a classroom that is 26 feet long by 19 feet wide and 9 feet high? How many tons of water will that be?
Answered by Stephen La Rocque.
A 400 gallon drum 2010-11-04
From Jerry:
Question from Jerry:

I want to build A tank. able to hold 400 gallons of asphalt sealer it will be round . basically like A old fuel oil drum but made with heavy material . math ? was I want tank to hold 400 gallons I think the length of 60" would be perfect. I don't know what diameter or radius of tank needs to be . to make it A 400 Gallon tank

Answered by Harley Weston.
The weight of some dirt 2010-11-03
From Maggie:
I am wanting to know how many tons of dirt we r going to need to fill a basement. The measurements we r going with r 15ftx15ftx8ft.
Answered by Penny Nom.
A water trough 2010-10-22
From Jasmine:
A water trough is 8 m long and its cross-section is an isosceles trapezoid which is 90 cm wide at the bottom and 120 cm wide at the top, and the height is 30 cm. The trough is not full. Give an expression for V , the volume of water in the trough in cm^3, when the depth of the water is d cm.
Answered by Stephen La Rocque.
Cleaning a ditch 2010-10-20
From bill:
how many yards of dirt will be removed from a ditch 200 feet long 6 feet wide at top x 3 feet wide at bottom and 4 foot slopes
Answered by Penny Nom.
The volume of a truncated pyramid 2010-10-12
From A:
what is the formula to find out volume of a pyramid with individual length and breadth? For example bottom size is 6.5m x 6.5m, top size 1.5m x 4.2m and height 0.8m. please send me the formula.
Answered by Stephen La Rocque.
30,000 US gallons of water 2010-10-12
From mike:
If a swimming pool can hold 30,000 US gallons of water - is it possible to calculate the number of yards of dirt it would take to fill the hole?
Answered by Penny Nom.
Cost of a driveway 2010-10-11
From arlene:
What is the total cost of a driveway that is 25' wide and 45' long with 4" thickness if the concreat cost 92.00 per cubic yard and labor is 70.00 a cubic yard?
Answered by Stephen La Rocque.
Mr Thorpe's volume 2010-08-15
From thomas:
A circular pool has a diameter of 3m and is filled to a depth of 70 cm. Mr Thorpe climbs into the pool and submerges for ten seconds while his son measures the new depth at 72 cm. Calculate Mr Thorpe’s volume.
Answered by Penny Nom.
Digging a pond 2010-08-14
From Jody:
I am digging a pond that is 100' X 60' X 10' deep in the centre. All four sides will have 3-1 slopes on them. How do I calculate how may yards of material will have to be removed?
Answered by Tyler Wood.
80,000 yards of dirt 2010-08-12
From Jeremy:
If I have an area 50' x 1200', what would be the elevation with 80,000 yards of dirt on it.
Answered by Robert Dawson.
The volume of earth to be moved 2010-07-29
From Michael:
Volume of earth moved @ 500' across, 1 to 3 degree slope, 30' deep X 50' across at the bottom.
Answered by Stephen La Rocque and Harley Weston.
Thickness of sand 2010-07-07
From RHONDA:
In an 18 x 33 ft area how much is 4 yards of sand in inches to cover this area.
Answered by Penny Nom.
How many gallons do I need to finish filling the tank? 2010-06-14
From Bruce:
I have a tank on it's side. 44" dia. by 72" long, I'm 6" from having tank full. How many gallons do I need to finish filling tank?
Answered by Harley Weston.
A fuel tank with a broken gage 2010-05-28
From Kinsley:
Hello, I have a fuel tank with a broken gage. It is a 2000 gallon tank. The dimensions are 64" dia. x 146" long. The fuel gage doesn't work, so the only measurement I can do is put a stick in it to see what is left. Currently it is at 19". PLEASE NOTE: the tank is laying on its side, meaning the long side is on the ground. So, how do I determine how much fuel is in the tank by the inches remaining? Thank you very much.
Answered by Tyler Wood.
Liquid in a horizontal tank 2010-05-26
From Brian:
I have a 50' long tank by 12' diameter it is lying down on it side with 12" of Liquid in the bottom i need to know how many gallons of fluid this is? Please Help, I was able to calculate out the Triangle but not the Sector!
Answered by Harley Weston.
How many bags will it take to fill this? 2010-05-22
From David:
A garden lot..360 square feet and 6 inches deep..you want to fill this with mulch and use 2 cubic. foot bags...how many bags will it take to fill this? Thank you...Dave
Answered by Tyler Wood.
The volume of a test tube 2010-05-20
From Nick:
A maths question. I have a test tube (basically a cylinder but with a rounded bottom end) and the measurements are: the diameter or width of the tube is 31mm and the total length of the whole tube is 204mm. The question is:
(a) what's the volume of this test tube (rounded to the nearest cubic mm) and
(b) what's the capacity of this test tube (rounded to the nearest mL). I need to show the full mathematical workings out of the two, not just the answer. The problem is the circular bottom end of the tube, it isn't flat, that would make it rather "easy"or straightforward but this is a half-circle (like all test tubes are)!!

Answered by Penny Nom.
A conical pile of gravel 2010-05-15
From Chuck:
If I have a conical pile of gravel 50 feet across at the base and a height of 65 feet and the slope of the side is approximately 60 degrees, how do I calculate the cubic yards?
Answered by Robert Dawson.
88 litres of oil in a cylinder 2010-05-15
From fella:
88 litres of oil are poured into a drum 40 cm in diameter. find the depth of the oil in the drum.
Answered by Penny Nom.
A conical pile of gravel 2010-04-13
From Chassity:
The gravel pile is 120' around at the base and goes up 20' high at the peak. How many tons or yards of gravel in that pile?
Answered by Penny Nom.
Volume of a cylinder 2010-04-12
From Louis:
A hockey puck has a diameter of 7.5 cm and a thickness of 2.5 cm. What is its Volume? A copper pipe with an inside diameter of 1cm. is 4m long. What volume of water (in cm3) can it hold?
Answered by Tyler Wood.
A cube with twice the volume 2010-04-11
From Woojin:
From a given cube create another cube with twice the volume. the cube: 5cm each.
Answered by Tyler Wood.
Backfilling the area around the outside of a pool 2010-04-07
From Craig:
I need to get dirt to fill an area 25ft x 25ft (think of a giant sandbox) HOWEVER, there is a pool 18 ft round in the middle of it. We need to backfill the area around the outside of the pool 6" deep. How much dirt will I need?
Answered by Penny Nom.
The volume of a berm 2010-04-05
From jim:
a berm 6 ft wide x 112 ft long 18 inches high at center x 18 inches down to 0 front and back as a taper...how much soil do I need?
Answered by Penny Nom.
Pyramids and parallelograms 2010-04-01
From Vivi:
Hi, my name is Vivi, and math teacher is giving a geometry test. I tend to forget how to find the surface area and volume of triangular pyramids and parallelograms. Do you have a way of remembering how to find the surface area?
Answered by Harley Weston.
A rectangular box packed with cylinders 2010-03-16
From Laura:
There is a cylinder which has a diameter of 10cm and height of 10 cm. Work out the volume of the cylinder. Then in a packed box of 20 cylinders (height of box 10cm) work out the volume inside the box that is not filled by the cylinders give your answer in terms of pi.
Answered by Penny Nom.
The volume of a frusta of a hexagonal based pyramid 2010-03-04
From sarah:
Volume of a frusta of a hexagonal based pyramid
Answered by Penny Nom.
A paper tube 2010-02-21
From shailesh:
How can i estimate weight of paper tube from size. i have paper tube inner diameter : 22mm, thickness : 2mm, length : 14mm. so how can i got weight of paper tube?
Answered by Harley Weston and Tyler Wood.
A prism and a pyramid 2010-02-19
From Juanita:
What is the relationship between the volume of a prism and a pyramid with congruent base areas and heights?
Answered by Tyler Wood.
A dirt berm 2010-02-05
From casey:
My question is two fold. I want to build a dirt berm that is 95 feet long and 8 feet high which has a 45 degree angle on each side of the slope. My first question is how wide will the berm end up being? Second question is how many cubic yards of dirt will I need to get? Thanks!
Answered by Harley Weston.
Aggregate must for a road base 2010-01-30
From Bryan:
How many cubic yards of aggregate must be ordered for a road base 16 in. thick and 2 miles long with a top width of 30 ft, if the side slopes are one on one, or 45 degrees
Answered by Stephen La Rocque.
The volume of a silo 2010-01-21
From heather:
The height of the silo is 30ft and the face that rests against a barn is 10 ft wide. If the barn if 5 ft from the center of the silo what is the capacity of the silo?
Answered by Penny Nom.
The length of a sidewalk 2010-01-19
From Les:
I have a sidewalk 4"thick,4ft. wide,and I have 2cubic yards of concrete. What is the length of my sidewalk?
Answered by Penny Nom.
The volume of an ellipsoid 2010-01-01
From Barbara:
I need to calculate the volume of an ellipsoid with the dimensions:

102.5 mm x 57 mm x 57 mm = L x W x H

I am using the formula V = 4/3 pi (.5L)(.5W)(.5H), but it isn't giving me a reasonable number.

Answered by Penny Nom.
The volume of a frustum 2009-12-29
From dave:
I have a frustum top 1.7r bottom .55r and 2.14 h I have to calculate cement in a silo every week. I am not very good at maths but i have been adding the top and bottom to get an average so as to turn it into a cylinder and i come up with 8.5m3 I know that the correct volume is 9.24 m3. Can you tell me why getting an average width on the top and bottom of a frustum doesn't work.
Thank you.

Answered by Chris Fisher.
Truncated Octagonal Prism 2009-12-26
From freitas:
the top plane of the truncated octagonal right prism is 45 degree with respect to horizontal. find the volume
Answered by Janice Cotcher.
The volume of a compost pile 2009-12-11
From Tim:
I have a pile of compost that is78 feet long by 18 feet wide at base by 9 feet tall to a point. At the width it looks like a triangle I'm looking for the square yards Thanks
Answered by Penny Nom.
Dirt around a cylinder 2009-12-10
From curtis:
If I was to pile 3.5 cu. yds of dirt around a 5ft 6in. diameter cylinder within 24in. of the outside, how high will the dirt be?
Answered by Penny Nom.
A 24" circumference pipe 2009-11-21
From Cliff:
How long does a pipe with a 24" circumference need to be to hold 2 cubic feet?
Answered by Penny Nom.
A triangular shaped ditch 2009-11-12
From Tim:
I am planning on constructing a triangular shaped ditch the measures 550 meters in length, 6 meters wide at the surface, .3048 meters at the invert of the ditch and 2 meters deep.

How many cubic meters of material will have to be excavated to construct this ditch

Answered by Robert Dawson.
Fill required for a driveway 2009-10-03
From Rose:
We are going to be pouring a driveway and it is needing a lot of fill. I can't seem to figure this out. Measurements are 30 ft x 30 ft and it goes from 2' deep to 4" (which is what I need overall as it will be 4" of concrete for the driveway. Please HELP Rose in GA.
Answered by Penny Nom.
The volume of a levee 2009-09-29
From Wes:
I need a levee with a 2:1 slope on both sides (front and back), the length of the levee is 290 feet, the height of the levee is 15 feet, and the width of the levee, at the top, is 10 feet. How do I figure out how many CUBIC YARDS of dirt I need to make the levee? And what formula do I use in future to figure this out easily?
Answered by Penny Nom.
The volume of a garbage bag 2009-09-28
From Steve:
I have often wondered how a garbage bags is determined in gallons - many different manufactures of these type bags often have different sizes stating they are a (for example) a 55 gallon bag - also I see some that show a range (20-30 gallon) yet is a specific size (16 x 14 x39 or a 30 x 36) I have searched and search but have been unable to find a formula
Answered by Robert Dawson.
Cubic feet of concrete 2009-09-24
From aLAN:
How many CF of concrete does it take to pour a 1000 SF area with concrete at 4" thick? I would like to see the steps and how you approach this too...thanks
Answered by Penny Nom.
Digging a trench 2009-09-15
From Darrell:
In digging a pipe trench that measures 29 feet long, 2 feet 9 inches wide, and 3 feet 6 inches deep, how many cubic yards of earth were removed from the site?
Answered by Penny Nom.
The volume of a closed 3D mesh object 2009-09-10
From Ozen:
I want to calculate the volume of a closed 3D mesh object having a surface made up triangles.
Answered by Robert Dawson.
The volume of a telephone pole 2009-08-11
From robert:
12.5"@ base x 7" @ top and 40' height. How would I find the volume in cubic feet for a telephone pole with these dimensions?
Answered by Harley Weston.
The volume of a tapered pole 2009-08-09
From robert:
what is the formula to use to come up with cubic feet in a tapered pole
Answered by Harley Weston.
Torricelli's trumpet 2009-07-29
From Gary:
I was reading about torricelli's trumpet which is described by the equation1/x which is then rotated around the x axis which results in a figure which looks like a trumpet. Now in order to find the volume the integral 1/x^2 dx is used which diverges when integrated so the volume is finite.However if you integrate 1/x dx which is the formula on the plane the answer diverges. Now if you took an infinite area then rotated it around the x axis shouldn't you get an infinite volume? Notice the area I am talking about is under the line 1/x not the surface area of the trumpet which is what the painters paradox is about What am I missing? Thanks
Answered by Robert Dawson.
Sand for sandbags 2009-07-07
From Jerry:
How much sand do I need to fill 750 sandbags that are 26 inches by 14 inches if I fill them at 60% of their full capacity?nad
Answered by Janice Cotcher.
liquid in a 3/4 inch pipe 2009-06-30
From junior:
We are in dilemma at my job. We need to figure out the formula for how much water can our pipe hold. It's inside diameter is 13/16" and is 50ft. long?
Answered by Robert Dawson.
Cubic meters of gravel in a 7 ton lorry 2009-06-21
From Jackie:
I have to transport gravel in a 7 ton lorry and I know how many cubic meters of gravel I need, but I need to know how many cubic meters of gravel a 7 ton lorry can hold.
Thanks, Jackie

Answered by Penny Nom.
Maximum Volume of a Cylinder Inscribed in a Sphere 2009-06-18
From Jim:
Hello I have a hard time finishing this question: A right circular cylinder has to be designed to sit inside a sphere of radius 6 meters so that each top and bottom of the cylinder touches the sphere along its complete circular edge. What are the dimensions of the cylinder of max volume and what is the volume?
Answered by Janice Cotcher.
Thermal Expansion of Steel 2009-06-17
From Ken:
Hi there, We are rollforming steel roofsheeting in 65M lengths and the = question of linear expansion has cropped up.I would like to know what = the expansion rate of this sheet would be over a temperature rise of say = 40degree F.in mm per Meter or whatever the norm is. The sheet is 0.53mm = thick and is 700mm in width,I hope this is sufficient info to enable you = to do your calculation.Many thanks, in anticipation. Ken
Answered by Janice Cotcher.
Volume of a Can 2009-06-12
From Zach:
A can of soda has a volume of 355 mL. The area of a circle is given as A=pieR2, where r= radius of the circle. So, the volume of the can is given by V=(pier2)h, where h is the height of the can. If a particular can has a height of 12.2 cm what is the radius of the can? I know the answer is 3.04 cm. I need help figuring out how to arrive at this answer- what were the mathmatical steps? Thanks, Zach
Answered by Stephen La Rocque.
Cubic yards in an Irregular Shape 2009-06-08
From ron:
hi i have a berm 100'w x200'L at the base and 9'tall the top is 85'L x 20'w i would to find out how many cubic yards are in the pile and the formula
Answered by Janice Cotcher.
A border around a pool 2009-05-29
From PATTY:
POOL RADIUS IS 13 FEET ON THE OUTER EDGE, I WANT TO MAKE AN 18 INCH OUTSIDE BORDER AROUND THE POOL. WHAT IS THE VOLUME AROUND THE POOL. (THIS IS GOING FROM A 13 FT. RADIUS TO A 14.5 RADISU.
Answered by Penny Nom.
Formula for Volume and Weight of Water in Pipe 2009-05-14
From Jonathan:
Do you have a formula for the amount of water that would be in a 12" schedule forty pipe in gal at any one time. The piping system will be under pressure but I need to know the overall weight of a single 20' stick of pipe so that I can determine my spacing for my concrete support inserts. Thanks.
Answered by Robert Dawson.
Cubic Feet for Around a Pool 2009-05-14
From Traci:
I have a pool that is 24 ft round. I want to put a trim of 2 inch deep and 1 foot wide white rock around the outside. My problem is that here you can only purchase the rock in bags of either 0.5 cu ft or 1 cu ft. How do I figure out how many bags i will need to do this right?
Answered by Robert Dawson.
The volume of an egg 2009-05-12
From Dylan:
What formula do you use to calculate the volume of an egg?
Answered by Stephen La Rocque and Penny Nom.
The volume of 3-D figures 2009-04-29
From Serena:
What is the formula for finding the volume of 3-D figures
Answered by Robert Dawson.
Volume of a prism 2009-04-21
From David:
The base of a rectangular prism has an area of 15.3 square inches and a volume of 185.13 cubic inches. Write an equation that can be used to find the height "h" of the prism
Answered by Robert Dawson and Stephen La Rocque.
The volume of a box 2009-04-15
From Karen:
Will 200 cubic centimeters of soil fit into the box? 8 CM by 6 CM and 4 CM deep
Answered by Penny Nom.
A toy pyramid 2009-04-03
From Darah:
Suppose you want to build a toy pyramid with a square base and a volume of 9000 cubic centimeters. What are the dimensions of a pyramid you might design? How many such pyramid designs are there?
Answered by Stephen La Rocque.
A large, hollow, ice cream cone 2009-04-03
From Darah:
A manufacturer is making a large, hollow, ice cream cone to serve as an ad for a local Baskin-Robbins. The ice cream cone is made up of a cone with height 8 feet, topped by a hemi-sphere with radius 6 feet. How much ice cream could the hollow object hold? If a gallon is 0.13368 cubic feet, how many gallons does it hold? If 3 gallons of Baskin-Robbins heavy cream chocolate blend weighs 24 pounds, how much would the ice cream cone weigh, excluding the weight of the construction material?
Answered by Stephen La Rocque.
The rate of change of the volume of a sphere 2009-03-25
From Kaylin:
why the rate of change of volume of a sphere is not constant even though dr/dt is constant?
Answered by Walter Whiteley.
The volume of a cylinder 2009-03-19
From zahir:
i want to ask one question, need i get the cross section of cylinder to calculate volume of cylinder
Answered by Harley Weston.
The ratio of the volumes of two cylinders 2009-03-18
From jdkaj:
cylinder a has radius 1m and height 4m. cylinder b has radius 2m and height 4m. find the ratio of the volue of cylinder a to the volume of b
Answered by Penny Nom.
The volume of water in a cone 2009-03-17
From Freddie:
A ball of diameter 20cm rests in a conical container whose angle with the slant height and the vertical axis is 25degrees. if water is poured into the container just enough to touch the bottom of the ball, find the quantity of water in the container.
Answered by Penny Nom.
How many bags do I need? 2009-03-16
From Dawn:
I need to purchase an item that is .4 cubic feet in size and the amount I need is 5.625 cubic feet. How many bags do I need?
Answered by Penny Nom.
The volume of a pipe 2009-03-15
From kalen:
Okay I am doing a problem on a practice sheet to study with and I need help. The question states: How many gallons will 500 feet of six-inch water pipe hold? Do you have any suggestions/breakdowns on how to work out this problem so that in the future I will know how to do it?
Answered by Penny Nom.
How many ball bearings can you make from a cone? 2009-03-14
From Vatsal:
there is a sum in my maths book which states the following: how many ball bearings of diameter 2.5 cm. can you get by melting a solid metalic cone of radi. 20cm and a Hight of 5 meters? how do i do this please tell me even the minute things like cancellatoins and where to use = , ; or any such thing because Im a bit weak in maths
Answered by Harley Weston.
Cubic feet 2009-03-07
From A student:
What is cubic feet and how do I use it in this question? (picture below)
Answered by Stephen La Rocque.
A rectangular prism 2009-02-25
From Christina:
I am trying to find the area of the base of a rectangular prism where one cube=_1 cu in. The Answer is given in square inches. I also need the volume of the prism in cu in. For example length=3, w=2, h=5
Answered by Penny Nom.
Amount of Water 2009-02-23
From Jeanette:
I received a water bill for 660,000 gal. of water. I don't think it is possible to pass this much water through a 1 1/2 inch pipe in 30 days. Is it possible to send that much water? I am assuming that there is a water pressure of 50 gpm, but I am not sure of that. It is a rural water system.
Answered by Janice Cotcher & Robert Dawson.
Percentage difference in pipe volumes 2009-02-22
From mike:
what is the % difference between a 3 inch diameter pipe compared to a 4 inch diameter pipe? and how do i find the answer?
Answered by Penny Nom.
A ¾ inch copper pipe 2009-02-22
From Ray:
Hi Do you have a formula I can use for this problem? And how to use it. Thank You How many feet of ¾ inch copper pipe will it take to hold 3 gallons of water?
Answered by Harley Weston.
Gallons of water in a 3 mile pipe 2009-02-19
From tim:
I need to know how many gallons of water a 16" pipe that is 3 miles long holds?
Answered by Penny Nom.
The volume of a cylinder 2009-02-18
From jim:
given the volume of a cylinder at 565m^3 and the height of 20m how do i calculate the cross section area in order to determine the compression strength of the cylinder
Answered by Harley Weston.
Tearing down a wooden privacy fence 2009-02-14
From Dezra:
we are tearing down a wooden privacy fence, it is 180' in length and the boards are 4"w x 6' H=A0x 1" thick i have a truck that holds 15 cubic yards. I would like to=A0know how many loads it's going to take to haul it off.

thank you for your help
dezra

Answered by Harley Weston.
A semi circular room 2009-02-11
From Taylor:
being 450pi (the area of a semi circle)

how much money would it cost to lay carpet at $2.57 per foot???

if the area of a semi circular room is 450 pi ft then what is the volume being that the diameter is 60 feet and the ceiling is 16 feet tall

Answered by Robert Dawson and Penny Nom.
Fertilizer in a bin 2009-02-03
From Todd:
Hello I am looking for a formula to figure out the fertilizer volume in a hopper bottom bin not only when it is full but part full as well. When you are filling it is heaped up in the middle to make a cone and when you are emptying the bin the cone is inverted so it would be nice to be able to quickly figure out the tonnes partly filled and when full.
Lets say the bin is 32 feet high from top of bin where you fill to the bottom where the product goes out and it is 16 feet in diameter. I know how to calculate the cylinder it is the cones on the top and bottom of the bin I have the main question on.

Answered by Harley Weston.
The amount of concrete in a football stand 2009-01-30
From jacques:
A football stand 150 yd long has 20 tiers of seats; each tier has a rise of 2ft and tread of 3ft.Its construction of reinforced concrete with a cross section as shown. Find the amount of the material used in its construction.
Answered by Penny Nom.
A railway cut 2009-01-30
From Jean:
A railway cut 200ft. long and 30ft. wide at the bottom is made with sloping sides, which are 80ft. and 60ft. in length. The 80-ft. side is inclined 45 degrees and the other side is 35 degrees to the horizontal. Find the cost of removing the earth at $2 per load, if the trucks have capacity of 4cu. yd.
Answered by Penny Nom.
Shapes 2009-01-29
From Rana:
I want to know about Circumference / Area / Volume of different shapes ie Circle , Oval , An Arc Trapezide etc
Answered by Robert Dawson and Harley Weston.
A cubical tank that is 8 m on a side 2009-01-25
From gina:
Suppose one edge of a cubic tank is 8m; Find the volume of the tank in cubic meters
Answered by Penny Nom.
The number of gallons in a tank 2009-01-19
From Jim:
Hi, i need to know how many gallons of water can fit into our tank, and how to do the calculations my self. The tank is 72" round by 72" long, i would like some help. Thanks Jim.
Answered by Harley Weston.
The volume of a prism 2009-01-19
From Mady:
What is the general equation used to find the volume of a triangular prism?
Answered by Robert Dawson and Harley Weston.
20 miles of gasoline 2009-01-18
From Roger:
I used the volume formula and found that a cylinder with a 3" radius X 8.75" height yields just over 231 cu. in. (one gallon)- doesn't seem right, but that's what I got. Then found the percent that 8.175" is to one foot and multiplied that into the number of feet in 20 miles. I'm not good at math, so I'm starting to lose myself here. The short story is I get a cylinder that is 20 miles long and only .0000387" in diameter. Is this even close to the mark?
Answered by Harley Weston.
Fuel in a tank 2009-01-16
From Steve:
I am not a math expert and want help seeing how much fuel is in a tank at one given time the tank that i have is 27 inches round. It is 69 inches long. laying length ways. it holds 140 gallons of fuel at fill up. I do know that it would hold less at the bottom of the tank an more in the center. Is there anybody that could just give me the figures by the inch without a formula. thanks for your time
Answered by Stephen La Rocque.
Concrete around a pipe 2009-01-14
From Doug:
How much concrete will i need for a hole that is 20 feet deep 20 inches in diameter with a 8-inch pipe in it. I need to know how much concrete on the outside of the 8-inch pipe.
Answered by Penny Nom.
The volume of a cone 2009-01-13
From ab:
the area of the base of the cone shown is 314 cm and it's height is 12 cam what is the volume?
Answered by Penny Nom.
The top half of a cone vs. the bottom half of the same cone 2009-01-08
From Tammy:
What is the ratio of the volume of the top half of a cone vs. the bottom half of the same cone? Is it seven times larger, or four times larger? and is the ratio consistent regardless of the size of the cone opening?
Answered by Penny Nom.
The volume and surface area of a sphere 2009-01-07
From destini:
the volume of a sphere is equal to its surface area. what is its radius
Answered by Chris Fisher.
Filling a round hole 2009-01-06
From Kathy:
I need to fill a hole that is 24 feet round x 12 inches deep. How much dirt will I need?
Answered by Robert Dawson.
The radius of a cone 2009-01-02
From kalpaj:
A conical funnel holds 100ml. If the height of the funnel is 10 cm, determine its radius, to the nearest tenth of a centimeter.
Answered by Penny Nom.
The volume of a pipe elbow 2008-12-31
From mhd:
how i can find volume of the pipe elbow of 4inches?
Answered by Stephen La Rocque.
The base of a triangular pyramid 2008-12-20
From joe:
triangular pyramid
base height=
base width=8ft
height=6ft
volume=88ftcu.

Please explain base height & how to solve.

Answered by Penny Nom.
The volume of a feed hopper 2008-12-18
From John:
I need to calculate the volume of a feed hopper, and I'm not sure how to break it down. The top of the hopper is 36" x 36", it is 30" deep, and ends at a 6" x 6" plate. One side of the hopper is straight top to bottom, of course tapering on two sides to meet at the plate. The other three sides angle down at about 75 degrees. I need to determine the cubic foot volume of this hopper (it is used for ground coffee) so I can configure a vibrator to knock down residual grounds. Thanks.
Answered by Robert Dawson.
The volume of a pipe 2008-12-10
From Walter:
What is the volume of a pipe 7.92 inches inside diameter and 22 km. long in cubic feet of water
Answered by Robert Dawson and Harley Weston.
The cost of a foundation 2008-12-08
From carl:
Hi, I need to work out the cost of a foundation.

The foundation is 1m deep x 500mm wide and is 6.3 meters long.

The cost per cubic meter for concrete is 1000 rand escuvation of earth will be 100 rand per cubic meter and back filling wil also be 100 rand per cubic meter.

What will the cost be

Answered by Harley Weston.
Ratio of Volumes of a Cylinder and a Cone 2008-12-06
From rohan:
A CYLINDER IS WITHIN THE CUBE TOUCHING ALL THE VERTICALS FACES . A CONE IS INSIDE THE CYLINDER.IF THEIR HEIGHT ARE SAME WITH SAME BASE ,FIND THE RATIO OF THEIR VOLUMES.
Answered by Janice Cotcher.
The volume of a yogurt pot 2008-12-04
From Robyn:
Okay, I know you have some answers on converting this already, but I can not convert the yoghurt pot I need yet into ml. Is there some way to explain this using the yoghurt as an example? The pot's 150g of lowfat strawberry yoghurt... would the 'low-fat' have an effect on this? I'm sorry if this is a bother for you to answer, I just don't seem to be able to get it... Have a nice day. - Robyn
Answered by Janice Cotcher and Penny Nom.
The volume of a cone 2008-12-03
From Tamriko:
Hi! Help me, please to solve the following problem: The diameter of an ice-cream cone is 6 cm and the slant height is 10 cm. What volume of ice-cream would fit inside the cone? Thanks!
Answered by Penny.
A cereal box that has a volume of 12000cm^3 2008-11-24
From William:
Hi, I have this math question that says construct a ceral box that has a volume of 12000cm3 and the surface area of the box has to be between 3200cm2 and 400cm2, I found some dimensions that are 20 by 20 by 30 and it works, but when I attempt to make the box, or make a net I would need this hugh piece of paper/cardboard, which I don't have, is there an easier way to find different dimenshions so I dont need a hugh piece of paper to create a net easily? Because i've tried trial and error but it has taken to long and I cant find anything,else, thats resonable.
Answered by Harley Weston.
The volume is decreased by 25% 2008-11-17
From Wanda:
If the volume of a sphere is decreased by 25%, what is the new equation?
Answered by Penny Nom.
Two cubic yards, 4 inches deep 2008-11-15
From Donna:
How many square feet will 2 cubic yards cover if the depth is 4 inches?
Answered by Stephen La Rocque.
The volume of a cyclone 2008-11-13
From Dianna:
I need to figure the cubic yards of a cyclone. 144" down to 48" 60" high
Answered by Penny Nom.
A barrel on its side 2008-11-13
From Dave:
Question from Dave:

How many gallons are left in a 36x60 in. barrel (laying on its side) and has 16 in. of gasoline left. I have attached a diagram.

Answered by Harley Weston.
Liquid in a drum 2008-11-10
From RAY:
How can I determine the exact amount of liquid in an overturned drum?
Answered by Penny Nom and Victoria West.
The volume of a pond 2008-11-04
From Malcolm:
I am looking for a formula to find the volume of my pond. I know the average surface diameter and the average bottom arc length.(The arc from one bank through a point in the bottom and on to the surface on the other bank. I am not able to get a good measurement of the depth at this time. Can the volume be figured with the known measurements (the cord and the arc)? Thanks: MS
Answered by Harley Weston.
The height of a tank 2008-10-26
From Kyle:
If a water tank holds 750 cubic meters of water and it is 15 metres long and 10 metres wide how many meters tall is it ?
Answered by Penny Nom.
The amount of diesel fuel in a tank 2008-10-26
From Mike:
I have an cylinder shaped oil tank that holds approx. 283 gals of diesel fuel. The tank is laying on on its side, (like taking a garbage can and laying it down on its side). What is the formula to calculate how much oil is in the tank at any given time. If the tank was sitting on end it would be easy to figure out, but it is not.
Answered by Stephen La Rocque.
A football field covered in garbage 2008-10-17
From AMie:
a small city produces 500,000 cubic ft of garbage per week. If all of this garbage were stacked neatly (in a nice vertical pile) on a 100-yard by 60-yard football field, how high would the pile be (in feet)?
Answered by Penny Nom.
The volume of a slice from a wedge 2008-10-16
From Jeff:
If I have a wedge shaped object (ie, a triangle of non-specific type extruded along a length) and it is sliced from the two-corner base at one end to the one-point tip at the other, what is the volume of the upper (smaller) part as a percentage of the whole? I hope I have explained it clearly enough. Thanks.
Answered by Harley Weston.
The rate of change of the volume of a cone 2008-10-15
From Barbara:
Suppose that both the radius r and height h of a circular cone change at a rate of 2 cm/s. How fast is the volume of the cone increasing when r = 10 and h = 20?
Answered by Harley Weston.
A cone shaped pile 2008-10-10
From Nadine:
I have a pile of wheat in the shape of a cone. I would like to know how much wheat I have. I have found the equation "V=1/3 pie r squared h" , but it dosn't work! The pile is 7 feet high, diameter is 50 feet, circumference is 185 feet. I also measured the slope 19feet. (Probably not needed) You need to know that wheat weighs 60 pounds per bushel, and I would like to know how many bushels I have. Even if I could receive the # of Volume Bushels, I could convert that. Can you help me??
Answered by Stephen La Rocque.
Concrete around a pipe 2008-10-08
From mick:
i am trying to find the area of concrete to be placed around a concrete pipe! Dimensions can be 12m wide by 5m wide by 7m deep and pipe been 8m by 600mm radius...
Answered by Stephen La Rocque.
The length of a tank 2008-10-01
From alex:
I have a tank which I can only partly see. It is 70cms wide, 45 cm deep and hold 500litres. How long is it?
Answered by Harley Weston.
The weight of a concrete cylinder 2008-09-18
From Curtis:
I am trying to calculate the weight of a concrete cylinder. The diameter is 56" and the thickness or depth is 24". Can anyone help me? If possible I would like to see the formula as to how the answer was derived. Thank you
Answered by Harley Weston.
The volume of a cylinder in gallons 2008-09-17
From subash:
i want to calculate volume of cylinder tank whose height is 1700mm and diameter is 1900mm and to convert volume into gallon ?
Answered by Harley Weston.
The volume of a box 2008-09-16
From Andre:
volume of the box cubic centimeters

____ X _____ X ______ X =_______

The length is 8.5 Width is 3.4

Answered by Penny Nom.
An ice cream cone 2008-09-09
From olivia:
Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. The cone has a height of 4.5 inches and a radius of 1.5 inches.
Answered by Penny Nom.
The biggest right circular cone that can be inscribed in a sphere 2008-09-08
From astrogirl:
find the volume of the biggest right circular cone that can be inscribed in a sphere of radius a=3
Answered by Harley Weston.
A circular swimming pool 2008-09-03
From David:
A circular swimming pool with a diameter of 30ft and a horizontal bottom contains 22,000 gal of water. What is the depth of the water in the pool? (one cubic foot contains approximately 7.5 gal of water.)

I'm having a great deal of problem dealing with this, i dont know if the equation I'm using is correct or am i plugging it in the wrong place. V=TTr^2h . if you can could you please explain to me step by step on how to set up this problem? the horizontal bottom thrown me off the most

Answered by Penny Nom.
A rectangular tank of water 2008-09-02
From Angela:
A rectangular tank is 80 ft long, 30 ft wide, and 20 ft deep. If 100,000 gallons of water were pumped into the tank, what would be the water rise?
Answered by Penny Nom.
How many litres of rain is this? 2008-09-01
From Todd:
If i have 10mls of rain over one square metre how many litres would I and how do I do the maths for this?
Answered by Penny Nom.
Trough Filling with Water 2008-08-21
From lanny:
a triangular trough is 10 feet long, 6 feet across the top, and 3 feet deep. if water flows at the rate of 12 cubic inches per minute, find how fast the surface is rising when the water is 6 inches deep.
Answered by Janice Cotcher.
The volume of a ditch 2008-08-12
From John:
Question from John: I am trying to figure out how much flowfill I will need for a ditch that we are digging out. The ditch is 300' long and is 4' deep on one end and 2' deep on the other end. We are going to dig this ditch out and replace it with a flowfill concrete material. How much flowfill material will we need or what is going to be the volume of this ditch?
Answered by Penny Nom.
The volume of a swimming pool 2008-08-10
From Ron:
What is the volume of a swimming pool when its length is 40 ft, width 20ft, the deep end is 10 ft and the shallow end is 3 ft.?
Answered by Penny Nom.
A cubic mile of water 2008-08-03
From Fred:
[QQ] HOW MUCH WATER IS THERE IN A CUBIC MILE?
Answered by Stephen La Rocque.
The volume of a fuel tank 2008-08-01
From G.:
I have a fuel tank that is 70 inches by 48 inches and 24 inches deep, how many imperial gallons does it hold?
Answered by Victoria West.
Volume of a Shed 2008-07-24
From lou:
I need to know the interior volume in cubic feet of a shed with the dimensions 8' x 10' x 7' with a roof peak of 9'. Thanks
Answered by Janice Cotcher.
Constructing An Open Box 2008-07-23
From Rita:
An open box with a square base is needed to have a volume of 10 cubic feet. (a) Express the amount A of material used to make such a box as a function of the length x of a side of the square base. (b) How much material is needed for a base 1 foot by 1 foot?
Answered by Janice Cotcher.
How much sand do I order? 2008-07-15
From jackson:
We would like to put 2 inches of sand down. The pool is 24 feet. How much sand will we need? The person we spoke to yesterday was talking in tons, but on these sites it is talking cubic yards or feet. Please help. We would like to get the sand ordered so we can get the pool up!
Answered by Harley Weston.
A silo with a flat side 2008-07-14
From Amy:
Without using the Pythagorean Theorem, determine the capacity of a silo in cubic feet of grain if: the cylinder-shaped silo has one flat, rectangular face that rests against the side of the barn; the height of the silo is 30 feet and the face resting against the barn is 10 feet wide; the barn is approximately 5 feet from the center of the silo.
Answered by Harley Weston.
The size of a pipe 2008-06-29
From payal:
hi , i want to know the area of a pipe with 63.5 mm diameter and 3718 mm height . can u pls help me
Answered by Harley Weston.
A concrete spectator area 2008-06-29
From Paige:
an area of the school courts is 58.5m x 60.4m, The spectator area is to be 2m wide and the concrete has to be 10cm deep Please can you calculate the volume of concrete needs for the spectator area?
Answered by Penny Nom.
How many gallons in an oval shaped tank? 2008-06-22
From dale:
how many gallons in an oval shaped tank, 72in long x46.5in wide x23in deep
Answered by Penny Nom.
A right prism with a square base 2008-06-13
From Malik:
Question from Malik: A company wants to alter the dimension of container. The new container is in the shape of right prism equivalent to the current one. The current container has height of 12cm and square base. The new container has also square base, but in the dimension base is increased by 3cm and height is decreased by 5cm. if the cardboard is used to manufacture the new container, what area of cardboard is used to make new container?
Answered by Penny Nom.
How many yards of concrete will I need? 2008-06-12
From Ron:
I am putting up a flag pole, and I am trying to fiqure out how much concrete I need for the job. I have a round cardboard cement tube which is 18" across and 24" tall. The bottom of the tube will be filled with 3" of gravel and 3" of sand and the rest will be filled with concrete. Could you tell me how many yards of concrete I need.
Answered by Harley Weston.
The radius of a sphere if you know the volume 2008-06-11
From Cey:
how to i find the radius of a sphere with a volume of 1000cm cubed using the formula v=4/3 pi r squared???????/
Answered by Penny Nom.
Packing a truck 2008-06-10
From Ann:
I am renting a 24ft box truck and have been told it is 1401 cubic feet. I want to know if I have 23 display cases to move and each is 6ft X 2ft X 3ft will the all fit? Or do I need additional info in order to figure this out?
Answered by Penny Nom.
Filling a hole with sand 2008-06-05
From greg:
I have a 18 ft. diameter circle and need to put 2 in. of sand in it i need to know how much sand in cubic yards and tons
Answered by Harley Weston.
The volume of a hexagonal pyramid 2008-06-05
From Angie:
My son is working on a hexagonal pyramid. The base is 4 and the slant height is 6. We know that the answer is 48 times the sqrt of 2. We don't know how they got it. We attached the drawing of it.
Answered by Penny Nom.
The volume of a solid 2008-06-04
From Tom:
The base of a certain solid is a circle of radius 2 while cross sections perpendicular to the base are isosceles triangles of height 1. What is the volume of the solid?
Answered by Harley Weston.
I want to fill my backyard slope with fill dirt. 2008-05-25
From Piero:
I want to fill my backyard slope with fill dirt. The slope is 50 feet wide and the distance from the top of the top of the slope to the bottom is about 15 feet deep and the slope angle is at a 45. I want to know how many yards of dirt do I need to fill a space that is 20 feet out, 15 feet deep at a 45 degree angle.
Answered by Stephen La Rocque.
Find a way to represent the length and width of the box. 2008-05-25
From Angela:
The volume of a box that is two inches high can be represented by V=2X^2-20x+32. Find a way to represent the length and width of the box. (Hint: you will need to use factoring).
Answered by Stephen La Rocque.
Volume/weight of a salt shedweight 2008-05-21
From James:
How do I find the volume/weight of a salt shed. I have a 3000 ton barn, I need a better way of finding how much salt to order as it gets used. I know how to calculate volume, how do i get tonnage from there??
Answered by Harley Weston.
A hemisphere and a cylinder 2008-05-18
From Libby:
A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 24 inches. The scoop is filled with molten steel. The steel is then poured into a cylindrical storage tank with diameter 32 inches. How high will the molten steel rise?

I got the volume of the hemisphere and the volume of the cylinder, but I'm not exactly sure what to do next.

Answered by Penny Nom.
Tyres in a shipping container 2008-05-14
From Carlene:
I need to work out how many tyres will go in a shipping container. The shipping container is 10 foot long, 8 foot wide and 8.6 foot high. The tyre is 175 millimeters across and it is 14 inches in tyre thickness. How many tyres will fit in my container?
Answered by Stephen La Rocque.
The weight of a concrete column 2008-05-11
From russell:
a cylindrical form is filled with a slow curing concrete. The base of the form is 10 ft in radius, and height is 25 ft. while the concrete hardens, gravity causes the density to vary from a density of 90 lbs/ft^3 at the bottom to a density of 50 lb/ft^3 at the top. Assume that the density varies linearly from the top to the bottom, and compute the total weight of the resulting concrete column
Answered by Harley Weston.
The volume of a ditch 2008-05-09
From Dixie:
I need to find the cubic feet of a ditch 36 inches wide by 28 inches high, by 1561 feet long. then I need to convert it to cubic yards then to tons. of rock
Answered by Penny Nom.
A bowl is the shape of a hemisphere 2008-04-28
From josh:
a bowl is the shape of a hemisphere with diameter 30 cm and water is poured into the bowl to a height h cm. how do i find the volume of the water in the bowl
Answered by Harley Weston.
A volume of revolution 2008-04-24
From Sabahat:
Hi, i have a region enclosed by both axes, the line x=2 and the curve y=1/8 x2 + 2 is rotated about the y-axis to form a solid . How can i find the volume of this solid?. (Please note that y equation is read as y =1 over 8 times x square plus 2.) I will be really grateful if you answer this question. :)
Answered by Harley Weston.
The isoperimetric inequality 2008-04-21
From Dutch:
I'm searching for the proof that the sphere has the smallest volume of any figure and maximizes the volume of any figure.
Answered by Chris Fisher.
The volume of a stone 2008-04-17
From sara:
a rectangular tank 30 cm long and 20 cm wide is filled with water to a depth of 8 cm. When a stone was put in, the water level rose to 11 cm. Find the volume of the stone. (Assume that the stone is completely under water.)
Answered by Penny Nom.
The capacity of a silo 2008-04-12
From Candonn:
I have a cement silo that is 30 ft. high and has a diameter of 12 ft. I was wondering what the capacity of the silo is in tons of dry material. The silo is flat on the bottom also.
Answered by Penny Nom.
A truncated cone 2008-04-11
From jason:
i need to know how to figure the cubic feet of a cone that the top is 72" wide the bottom is 25" wide and it is 48" tall. is there a specific formula for this?
Answered by Penny Nom.
The volume of a triangular shaped pond 2008-04-10
From Bret:
we have a pond that is triangular shape : 130ftx130ftx150ft and is 4ft deep. How can I figure out as to how many gallons of water it will take to fill it up? Thanks for your help :)
Answered by Penny Nom.
How many bags of mulch? 2008-04-07
From MJ:
I have an area that is 35' X 50' and I want to cover it with 2" of mulch.

Do I take length X Width X depth? Bags of mulch are sold in 2 or 3 cubic feet per bag.....I just want to know how to do the math. can you please send me the equation?

Answered by Penny Nom.
The amount of a washing machine 2008-04-07
From Eddy:
we have a washing machine with a specific cylinder size, which we could calculate the volume as a regular cylinder formulas. The question is, if we fill the washer cylinder with water at a specific height on water , example 15 cm height, how can we find the volume of water at that specific height?
Answered by Penny Nom.
A volume of revolution 2008-04-04
From ted:
Consider the region bounded by y=x^2 + 1, y=5-3x and y=5. Sketch and shade the given region; then set up but dont evaluate teh integrals to find the following:

a) The volume of the solid generated by rotating the region about the line y=5

b) the volume of the solid generated by rotating the region about the y-axis

Answered by Penny Nom.
810 slabs of concrete 2008-04-01
From Wesley:
I'm making a 4" x 4" x 2" (Inches) concrete slab (approximately 750 of them, I'm going to plan for 810 for extra material). I'm trying to find out how many bags of cement I need. Each 60 lbs bag makes approximately .5 cu/ft.
Answered by Harley Weston.
I have to fill a hole with clay 2008-03-31
From Tim:
Dear Sirs I have to fill a hole with clay and then 8 inches of top soil. The area is a 24 foot circular hole left by a now removed swimming pool. The area in question pithces from the house from 48" to ground level within that 24 feet. I was wondering how many yards o the top soil has to be 5-8 inches deep thank you f fill(clay) I would need and how many Yards of top soil to cover that hole
Answered by Harley Weston.
How many bags of cement do I need 2008-03-30
From Joe:
How many bags of cement do I need if I want to extend my carport 6 inches all around? The carport is 15ft. x 15ft. and the existing slab is 4 inches thick.
Answered by Harley Weston.
A car tire full of concrete 2008-03-27
From robert:
I want to build a volleyball net support. I am using a car tire 24"odx16"id filled with concrete. how much will this weigh? thanks
Answered by Penny Nom.
The volume of a footing 2008-03-23
From Brett:
You need to pour an 8"x16" footing that is 100ft. long. At a cost of $65 per cubic yard, how much will this cost?

(A) $205 or less
(B) more than $205, but less than $220
(C) $220 to $235
(D) more than $235

Answered by Penny Nom.
The volume of a dam 2008-03-23
From JD:
How many cubic yards of soil are required to build a small Pond Dam:
100ft wide bottom x 300ft long x 15ft High with a 14ft wide Flat top

Answered by Harley Weston.
Determine the capacity of Farmer John's silo 2008-03-16
From paula:
Farmer John stores grain in a large silo located at the edge of his farm. The cylinder-shaped silo has one flat, rectangular face that rests against the side of his barn. The height of the silo is 30 feet and the face resting against the barn is 10 feet wide. If the barn is approximately 5 feet from the center of the silo, determine the capacity of Farmer John’s silo in cubic feet of grain.
Answered by Penny Nom.
The volume of a countertop 2008-03-08
From Matthew:
I need to calculate volume down to cubic feet. I pour concrete countertops and cant figure out the formula to convert inches and feet. If I have a 2.5 inch by 2 foot by 16 foot concrete countertop how do I convert it to cubic feet and hence know how many bags of concrete at .6 cubic feet per bag I will need. I am trying to input the formula into a spreadsheet. thank you so much Matt
Answered by Penny Nom.
The volume of a cereal box 2008-03-03
From Lawson:
I have calculated the volume of a box of cereal whose dimensions are: Length - 19 cm
Width - 3 cm
Height - 27 cm

I need help with the follow question: If 2cm3 = 30 pieces of your cereal, how many pieces of cereal will fit in your box? What do I do the calculate?

Answered by Penny Nom.
The volume of a truncated prism 2008-03-03
From jhey:
The volume of a truncated prism is 6240 cu cm. The base is a right section in the form of an equilateral triangle. The edges perpendicular to the base are 15 cm, 18 cm, and 15 cm long. Find the length of one side of the base.
Answered by Harley Weston.
Pea gravel 2008-02-24
From Linda:
I have a space of 16 feet by 8 feet. I want to fill it with pea gravel 6 inches deep. If the bags of pea gravel are .53 cubic foot. How many bags would I need. Thanks so much.
Answered by Stephen La Rocque.
The volume of a pyramid 2008-02-03
From Britni:
The base of this pyramid is an equilateral triangle with sides 8 units. The altitude of the pyramid is square root of 3. What is its volume?
Answered by Penny Nom.
Volume of a log 2008-01-29
From Reji:
i purchased a teak wood length 20feet and perimeter 60inch. How much cubic feet will be the wood.
Answered by Stephen La Rocque.
Belled-out pier 2008-01-28
From Gina:
I need to know how to find the total yards needed to fill a concrete pier that is 54"/ 108" and 26' deep. That is...54" @ the top of the pier belled to 108" @ the bottom...26' deep.
Answered by Stephen La Rocque.
The volume of a tank 2008-01-27
From Fred:
A cubic tank holds 1,000 kilograms of water what are the dimensions of the tank in meters?
Answered by Harley Weston.
Maximum volume of a box 2008-01-15
From Rajesh:
A square piece of a cardboard of sides ten inches has four equal peices are removed at the corners, then the sides are turned up to form an open box. What is the maximum volume such a box can have?
Answered by Stephen La Rocque.
Constructing a pool 2008-01-15
From Scott:
what it the cubic yards needed for this pool. It is 14ft. X 28ft. and 6 inches thick. It is 3.5ft. deep on the shallow end and 6ft. deep at the deep end.
Answered by Stephen La Rocque.
How many bags of cement will I need? 2008-01-15
From James:
I want to extend my front porshe more to the left atleast 14' 1" length wise and 5' 1" width wise with 4" thickness. Now i already decimalized in feet those inches, resulting with 14.08 length and 5.08width and 0.33 of thickness. I then Get my square feet of 71.53. And go on to cubic feet getting a 23.60 in cubic feet. Now i want to convert to cubic yards so i then divide 23.60 into 27 and get 0.87. Now my question is how would i use this to go and buy the necessary bags of cement knowing that a 94 lb. bag of cement is 1 cubic foot of bulk material. To fill 4 inch of thickness and 14' of length and 5 of width?
Answered by Stephen La Rocque.
What length of hose will I need? 2008-01-03
From Justin:
I have one cubic yard of liquid that I want to convert to a cylindrical volume with the inside dimensions being 3/4 of an inch. I am trying determine what the height/length would be to set these equal. i.e. What length of hose will I need (with an inside diameter of 3/4") in order to accommodate exactly one cubic yard of liquid?
Answered by Penny Nom.
Volume in cubic feet 2007-12-20
From kim:
if i have the inches and need to convert them to cubic feet, how do i do that? i thought it was height X width X length.
Answered by Penny Nom.
A 300 ton train locomotive is built at exact half scale in all dimensions 2007-12-16
From Normand:
When a 300 ton train locomotive is built at exact half scale in all dimensions we assumed the weight would be 150 tons. Like a bar of solid steel cut in half would be. Why does this not work out? What are we missing here?
Answered by Penny Nom.
Bags of concrete 2007-12-06
From Chris:
I need 1 and one half yards of concrete for a project. If one bag is equal to 0.38 cubic feet, how many bags will I need?
Answered by Penny Nom.
Ball bearings in an oil can 2007-12-03
From Lisa:
One hundred ball bearings with radius 5 mm are dropped into a cylindrical can, which is half full of oil. The height of the cylinder is 20 cm and the radius is 8 cm. By how much does the level of the oil rise?
Answered by Stephen La Rocque.
Will the container hold all the liquid? 2007-11-26
From john:
a bottle contains 750 ml of oil. the oil is poured into a container 12 cm high and with a square base of side 10cm.
(a) will the container hold all the liquid
(b) if the answer to (a) is 'no', how much liquid will be spilt?
(c) if the answer to (a) is 'yes', how much more liquid will the container hold?

Answered by Leeanne Boehm.
The volume of a soccer ball 2007-11-25
From Ria:
A student of me is working on a paper about soccer and math/physics. He wants to calculate the volume of the ball, which is composed of 5- and 6-sided pyramids. We are looking after a formula to express the volume of these pyramids in function of the radius of the ball (and if possible how we can derive this formula). Afterwards we'll try to calculate the difference with the volume of a sphere with radius r.
Answered by Stephen La Rocque.
A cylindrical tank 2007-11-16
From Mario:
I want to determine how many gallons i have inside a cylinder (tank) that is resting on its side (the Height), NOT standing up. I know V=pi x r2 x H. And 1 cubic foot = 7.48 gallons. Here are the dimensions r=2' H=20'. Now my question is how do I determine how much liquid i have inside, if the level of the liquid is about 1/2 of the way of its Diameter (in other words 2'). Remember this cylinder is lying on its side.
Answered by Penny Nom.
Changing units and sizes of things 2007-11-08
From Carol:
volume of cube = 216 cubic inches how do I calculate cubic feet and calculate its surface area in square feet. a rectangular box has dimensions of 3 x 6 x 15 how do I calculate surface area in square yards and calculate volume in cubic inches. if I double the dimensions how does it affect the volume
Answered by Stephen La Rocque.
The volume of a vial 2007-11-06
From Derrick:
An empty vial has a mass of 65.92 g. If the vial has a mass of 202.91 g when completely filled with liquid carbon terachloride (d = 1.59 g/cm3), what is the volume of the vial? I have tried several solutions but none i can come up with seem to be correct.
Answered by Penny Nom.
How many cubic yards of dirt do I need? 2007-10-16
From BELINDA:
I need to fill an area of 30,000 square feet with dirt that is 18" in height. How many cubic yards of dirt do I need to do this?
Answered by Penny Nom.
How much water is in a hose? 2007-10-12
From Bryan:
I need to know how much water (gal) is in a hose thats 100' long by 5" in dia. Thanks
Answered by Stephen La Rocque.
The amount of dirt 5 feet deep over a 50 acres 2007-10-02
From Debbie:
Please tell me how to calculate the amount of dirt stripped 5 feet deep over a 50 acre site. How do you calculate the amount of dirt in an acre and then excavating it a certain depth. How does one calculate the amount of dirt excavated and moved and how to price to charge for the service?
Answered by Stephen La Rocque and Victoria West.
Oil in a pipe 2007-09-29
From Kristi:
How much oil is in a 40 foot section of pipe that its inside diameter is 36 inches?
Answered by Victoria West.
How much water to fill my bedroom? 2007-09-22
From hector:
how can i find out how much water i can fill my bedroom with when it measures 12 ft.x12 ft.x10 ft.
Answered by Steve La Rocque and Penny Nom.
Filling a planting bed 2007-09-18
From Luke:
How many 40lbs bags will it take to fill area 21feet long 45inchs wide 9 inch deep?
Answered by Penny Nom.
Volume of a cylinder 2007-09-15
From mike:
I need to know the formula to measure conceret celinders
Answered by Penny Nom.
Volume, mass and density 2007-09-14
From Nathan:
I have a sample of material that is 10cmx10cmx5cm and has a mass of 29 grams. How many grams would a sample of the same material that was 96cmx188cmx5cm be?
Answered by Penny Nom.
How much stone will be needed to fill the trench? 2007-09-14
From Debbie:
A trench 100metres long 1ft wide*18inches deep with a 4inch pipe laid. How much stone will be needed to fill the trench.
How much weight in stone would I need to fill it?

Answered by Penny Nom and Victoria West.
Is it platinum or silver? 2007-09-14
From Jordan:
In Chemistry we are doing a lot of problems that are much more math related than anything. One of my questions reads: A certain medallion has a mass of 55.64 g. When placed in 75.2 mL of water in a graduated cylinder, the water level rises and then reads 77.8 mL. Is the medallion made of platinum (D=21.4 g/mL) or silver (D= 10.5 g/mL)?
Answered by Penny Nom.
The contents of a silo 2007-09-14
From Steven:
I need to know how to find the weight of the contents of a silo that is 4 feet across and is funnel shaped at 60 degrees
Answered by Penny Nom.
How much space we are talking about when they say 500 cf? 2007-09-11
From Rhonda:
I was informed while planning a move that the moving company will allow 500 cubic feet of moving space. Anything over that is $5.99 per cf. How do I find out exactly how much space we are talking about when they say 500 cf ?? Thank-you in advance for the advice.
Answered by Stephen la Rocque.
Water in a conical tank 2007-09-10
From Greg:
Joe is conducting an experiment to study the rate of flow of water from a conical tank. The dimensions of the conical tank are:
Radius at the initial water level = 13.7 cm
Radius at the reference point = 12.8 cm
Initially the tank is full of water. There is a circular orifice at the bottom of the conical tank with a diameter of 0.635 cm. The water drains from the conical tank into an empty cylindrical tank lying on its side with a radius of 0.500 ft and a length L (ft).

Joe observed the water discharged with an average velocity of 1.50 m/s as the water level lowered from the initial height of 14.0 cm to 5.00 cm in the conical tank. Answer the following: 1. If the initial height of water in the conical tank is 14.0 cm (measured from the reference point, see Fig. 1), how long in seconds will it take for the water level to drain to a height of 5.00 cm?? NOTE: Height refers to the vertical height.

What formula would I use to find out how long in seconds it takes for the water level to drop?

Answered by Harley Weston.
Two inches of topsoil 2007-09-10
From Nick:
I have to cover a 5,300 square feet area with topsoil 2" deep. How many yards would I need?
Answered by Harley Weston.
Liquid in a pipe 2007-09-05
From christian:
how many cubic feet are in a pipe that is 3" (inside diameter) and 459 feet long?
Answered by Stephen la Rocque.
A turtle tank 2007-08-30
From Natasha:
I have a tub that we are going to use for a turtle tank. it is 3 feet long 1foot 7in wide and 1foot 5 in deep. how many us gallons will this tub hold?
Answered by Harley Weston.
Filling an old swimming pool 2007-08-27
From Russ:
I would like to know how much fill material I would need to fill an old swimming pool. The pool is 18' wide x 36' long and is 4' to 10' deep.
Answered by Penny Nom.
A frustum of a right pyramid 2007-08-24
From Andrew:
Find the volume of a frustum of a right pyramid whose lower base is a square with a side 5 in., whose upper base is a square with a side 3in., and whose altitude is 12 in. Round your answer to the nearest whole number.
A. 47cu in.     C. 226 cu in.
B. 196 cu in.     D. 1036 cu in.

Answered by Stephen la Rocque.
I want to fill the hole up with dirt 2007-08-19
From Roger:
I have an 18 foot round hole which is 16 inches deep. I want to fill the hole up with dirt. How much dirt do I need to fill the hole??
Answered by Penny Nom.
How much water is this? 2007-08-16
From Judy:
Have an area 731 sq. ft with 5" of water all the way around. How many gallons is this? Your help is appreciated.
Answered by Stephen La Rocque.
How do I find out how much cubic meters will spread over meter squared area? 2007-08-16
From Derek:
How do I find out how much cubic meters will spread over meter squared area?
Answered by Penny Nom.
Water bill woes 2007-08-12
From Terry:
I know that a cubic foot of water=7.48051945 gals., but I keep getting my water bill and they go by thousands of a gal. per cubic foot. Is there a conversion that says that shows this? Water department=.763 x cubic foot used=thousands of gallons water used that month. Exampel: 72cu. ft meter reading x .763+ 58.--- galons of water I use in a month. Total 58=thousand = +gallons. This is wrong. There are only two people in the house.
Answered by Stephen La Rocque.
Scalar triple product and volume of a general tetrahedron 2007-08-03
From Anurag:
how do you prove that volume of tetrahedron= 1/12 times scalar triple product of vectors a,b and c?
Answered by Stephen La Rocque.
A gas tank 2007-08-01
From Randy:
I am trying to determine the size of the gas tank on a used truck I just purchased. There is no tag on it showing the size. It measures 50" wide by 12" high by 18" deep. How many gallons of gas does it hold?
Answered by Penny Nom.
An irrigation ditch 2007-07-31
From Kevin:
I would like to know how many cubic yards of concrete I would need to fill a section of irrigation ditch that measures 12 inches on the bottom, 40 inches on top, 16 inches high and 20 feet long with a 18 inch diameter, 20 foot long culvert sitting in the ditch (to remain open). I am trying to build a roadway across the irrigation ditch. Thanks very much.
Answered by Penny Nom.
A 20,000 gallon fuel bag 2007-07-28
From Kevin:
I have a 20,000 gallon fuel bag Length 32'x Width 29'x Height 4.2'. I need to build a containment around it. If the bag was to rupture the containment would have to hold the 20,000 gallons of fuel plus ten percent. What size would the containment have to be in order to hold the fuel.
Answered by Stephen La Rocque.
A football stand 2007-07-19
From jean:
a football stand 150 yd. long has 20 tiers of seats; each has a rise of 2 ft. and tread of 3 ft. it constructed of reinforced concrete with a cross section of 36*54. find the amount of material used in its construction.
Answered by Harley Weston.
The volume of a cistern 2007-07-19
From sharon:
We have a cistern to hold spring water that measures 12 feet in depth by 5 feet in diameter. How much in liquid gallons will it hold?
Answered by Penny Nom.
A triangular trough 2007-07-19
From janine:
A trough is formed by nailing together, edge to edge, two boards 11 ft. in length, so that the right section is a right triangle. If a 15 gallon of water are poured into the trough and if the trough is held level so that a right section of water is an isosceles right triangle, how deep is the water? (231cu.in=1 gal.)
Answered by Penny Nom.
I need to provide 712 cubic feet to water storage capacity 2007-07-03
From William:
I need to provide 712 cubic feet to water storage capacity. If I use 15 inch diameter pipe, what would the length need to be to provide the capacity?
Answered by Stephen La Rocque.
A sand base for a pool 2007-07-01
From Clark:
I am adding sand for a base for a pool. It is 20' round and I would like the sand to be 2" deep. Can you tell me how many cubic feet that would be? Thanks!
Answered by Harley Weston.
A cylindrical slab of concrete 2007-06-30
From Kenn:
I have a tank that needs a base of cement put in it. I dont know how to do this. The tank is 8 feet across and I want the cement to be 5 or 6 inches deep. Can you please tell me how much cement I need to do this.
Answered by Harley Weston.
A cubic yard of gravel 2007-06-24
From Duncan:
I'm trying to figure out how much area 1 cubic yard of gravel would cover at a depth of 2 inches? I've asked around and have many different answers.
Answered by Stephen La Rocque.
Volume in a triangular water trough 2007-06-24
From David:
A water trough has sloping sides of length 500mm making it triangular in cross section, with vertical ends. The width at the top is 600mm and the length is 2.0 metres.
(i) Calculate the capacity of the trough, giving your answer accurate to the nearest litre.
(ii) Find out the depth of the water when the trough is half full.

Answered by Stephen La Rocque.
The volume of a cube 2007-06-23
From Leah:
I am having trouble finding the equation for this problem.: What is the volume of a cube with diagonals of length 6 sqrt(3) cm? answer: (BLANK) cm3
Answered by Penny Nom.
Volume of a box 2007-06-22
From ashley:
A storage bin is 18 ft long, 6 ft wide and 3 ft high. What is its volume in cubic feet?
Answered by Penny Nom.
Making a box with a particular volume 2007-06-20
From Kimberly:
How do you convert 487 cf into box?
Answered by Stephen La Rocque.
The volume of a pool 2007-06-20
From Mary:
How can I calculate the square footage of my 18 feet diameter, 4 feet deep swimming pool?
Answered by Penny Nom.
How many gallons of water 2007-06-19
From Marie:
A water treatment plant is built with three cylindrical tanks to contaim the water for a town. Each tank has a radius of 15 feet and a depth of 25 ft.

If there are about 7.5 gallons in a cubic foot of water, approximately how many gallons of water can be treated at the plant at any one time?

Answered by Stephen La Rocque.
How many tons of sand? 2007-06-19
From Richard:
I need to know how many tons of sand it would take to fill a container 20 feet long, 20 feet wide, and 6 inches deep. I am not sure of the makeup of the sand as far as dry, loose, wet, etc. If you could give me calculations of all the variants it would be appreciated.
Answered by Stephen La Rocque and Penny Nom.
A pipe full of water 2007-06-07
From paul:
What is the volume of water in a 100mm inside diameter pipe that is 12.5 meters long What would be the pressure at the bottom if the pipe was installed in the vertical plain
Answered by Steve La Rocque, Penny Nom and Gabriel Potter.
Yards of top soil 2007-06-06
From Cristina:
How many yards of top soil do I need in a area of 2000 square feet with 18" depth.
Answered by Penny Nom.
Volume of a brewer's sphere 2007-06-04
From Edward:
A Brewer's Sphere that has a 9' Dia. Holds how much Brew? How many 40oz bottles will be needed to hold his batch of Brew?
Answered by Stephen La Rocque.
The volume of a triangular prism 2007-06-01
From Hannah:
How do I find the area of the base of a triangular prism, so that I can find the volume by using the equation on the attachment. The formula is that volume equals one half times (base times height) times triangle height. Thank you for your help. Hannah
Answered by Penny Nom.
Water tank volume 2007-05-29
From Cecelia:
I HAVE A SEMI CIRCULAR TANK AGAINST A WALL MEASURING 6'10" ACROSS THE WIDEST PART AND 3' FROM THE WALL TO THE FRONT OF THE TANK. THE DEPTH IS 14". PLEASE HELP ME TO CALCULATE THE VOLUME OF WATER IN THE TANK.
Answered by Stephen La Rocque.
Volumes of cones and cylinders 2007-05-29
From George:
1. The volume of a cylinder is 1353cm3
A) What is the volume of a cone with the same radius as the cylinder but double the hieght of cylinder?
B) What is the volume of a cone with the same height as the cylinder but with three times its radius?

Answered by Steve La Rocque and Walter Whiteley.
Volume of a chest 2007-05-24
From Jerry:
Heighth: 28" Width: 32" Depth: 20"
Answered by Stephen La Rocque.
Mulch price comparison (price per cubic yard versus price per cubic foot) 2007-05-23
From Dianna:
This is a 2-fold question. I am getting some mulch that is measured in 1 cubic yard for $25.00. Walmart has a 2 cubic bag for $3.00. I need to cover a 376 sq ft area. I need to know which is the best deal and how much I need to buy to cover the 376 sq ft.
Answered by Stephen La Rocque.
How many tons of dirt is this? 2007-05-23
From Deb:
I need to know how many tons of dirt(6 inches deep)would it take to cover 8 acres?
Answered by Stephen La Rocque.
Converting mass of sand to volume (a sand ceremony) 2007-05-21
From Linda:
I'm getting married. We are having a sand ceremony. The empty bottle we are using holds 800ml. I have bags of colored sand. Each bag is 30g. There is 7 people participating in this ceremony. What I need to find out is how many grams of sand i need for 7 people to participate to fill this jar.
Answered by Penny Nom.
Constant rate of sand falling in a cone 2007-05-20
From Nhi:
Sand is falling into a conical pile . After 5 min. the pile has radius 24 and height 26 . After 7 min. tell how far the point c. is from the top of the cone (A).
Answered by Stephen La Rocque.
Cost of replacing a driveway 2007-05-17
From Chris:
A homeowner needs to replace a driveay which is 12 feet wide and 90 feet long. The old driveway needs to be dug out. It is 9 inches deep. It costs $35 per cubic yard to remove the old driveway and $75 per cubic yard to lay the new one. What will be the cost of the complete job?
Answered by Penny Nom.
Buying topsoil 2007-05-16
From Claudia:
I am trying to figure out if it is cheaper to buy topsoil by the bag (one 40lbs bag for $1.66) or having it delivered for $60 for 4 cubic yards.
Answered by Penny Nom.
Volume of a wedge 2007-05-14
From Mark:
We need to fill in dirt along a 75 foot long fence, 3 feet out , statring at 6 inches agaisnt the fence, sloping to 2 inches at the grass. I am trying to calculate the volume to order enough cubic yards of dirt to fill this.
Answered by Stephen La Rocque.
Maximizing the volume of a cone given the slant length 2007-05-14
From Christina:
A coffee filter for a new coffee maker is to be designed using a conical filter. The filter is to be made from a circle of radius 10cm with a sector cut from it such that the volume of coffee held in the filter is maximised. Determine the dimensions of the filter such that the volume is maximised.
Answered by Stephen La Rocque and Kerstin Voigt.
Pre-algebra volume of a prism 2007-05-10
From Brenda:
Find the volume of a triangular prism with a base of 5 cm by 5 cm and a height of 12.5 cm. Round to the nearest tenth.
Answered by Stephen La Rocque.
Cubic feet of sand 2007-05-09
From Paul:
I have an above ground pool that is 585 sq feet. I want to cover the bottom in 3 inches of sand. The sand supplier says I need about 6 cubic yards, based on your prior answers on this subject. I come up with 1.8 yards. What is the correct amount?
Answered by Stephen La Rocque.
A speaker box 2007-05-05
From darell:
I am trying to build a speaker box, and i am trying to find out the measurements of a 1.5cubic feet box.
Answered by Penny Nom.
Edging surrounding a round pool 2007-05-03
From Carol:
Hello, I am new at this and very rusty on my math. I am getting a 24 Ft. round pool and would like to put 2ft width stone (small) edging around it. How much would I need to buy. I have to buy it by the yard (cubic yard) I am not looking for an exact, just an approx. even would be great. Thanks Carol
Answered by Stephen La Rocque.
How many tons of sand is needed 2007-04-25
From Jennifer:
How many tons of sand is needed to cover 350 cubic square feet?
Answered by Penny Nom.
How much water is in the pool 2007-04-23
From Kayla:
how much water is in a pool which is 10m x 5m and is 1.5m to 2.5m in depth?
Answered by Penny Nom.
The size of a freezer 2007-04-23
From Jacqui:
How many can packages can fit? I have a freezer that is 7cf. But it contains a little tray component. The freezer measurements without the tray is(bear with me, I'm not good with LxWxD) 23 across x 16 W x 25 deep (I'm assuming depth) and the tray is 8 across x 16 w x 15 D. We are trying to see how many 9 L x 6 W x 3.5 D packages can fit in the freezer. Please help me. I'm getting app. 60. I need 84 to be able to fit.
Answered by Penny Nom.
A bag of mulch 2007-04-22
From John:
I have a bag of mulch that contains two cubic feet of mulch. If I speard it out at a height of one inch, in a three foot wide flower bed - how feet can I cover?
Answered by Stephen La Rocque.
Relating volume to depth in a cylindrical container 2007-04-19
From Dan:
I have a cylindrical polyethylene rain barrel 23" in diameter and 35" high. If I've calculated correctly thus far, its volume is:

14, 547.49 cubic inches (or 8.418686 cubic feet or 0.31 cubic yards)

and could, ideally, contain 62.6 gallons of rain water whose weight would be 525.32 lbs. (62.4 lbs./cubic foot X 8.418686).

I'm having difficulty relating inch depth markings on the side of the barrel to volume capacity; i.e., how many inches in depth in a cylinder of the size given would = how many gallons (or quarts) of water. The barrel stands upright on its end and is, thus, 35" high when oriented in this fashion, much as a 55-gallon oil drum appears when similarly stowed. Dan Watley

Answered by Stephen La Rocque.
Swimming pool water 2007-04-12
From tina:
How much water does a 24' round, 4' deep swimming pool hold?
Answered by Haley Ess.
A volume of revolution 2007-04-08
From christina:
find the volume of the solid formed when region bounded by y=x/3, y=2 and the y-axis. it is revolved about the x-axis.

the assignment was to use both the washer method and the shell method but when i solved for the volume, i got different answers. i think my shell method is wrong because i know i'm having difficulties with using "dy" instead of "dx" here's my work so far:

Answered by Penny Nom.
Find the volume of the solid 2007-04-07
From tricia:
a solid is constructed so that it has a circular base of radius r centimeters and every plane section perpendicular to a certain diameter of the base is a square, with a side of the square being a chord of the circle. find the volume of the solid at first i thought the length of a side of the square would be r, but that isn't awlays be true- only when the chord is in the center. so how can i solve this without any values? i dont understand the relationship between the chord and radius, except that the radius intercepts the chord at the midpoint. i know i hav to take the integral to get the volume, but how do i even find the area of one of the squares? please help, thanks, tricia
Answered by Penny Nom.
A pipe with 8 inch inside diameter and ten feet long 2007-04-03
From Frank:
How many cubit feet are there in a pipe with 8 inch inside diameter and ten feet long. Thank you
Answered by Stephen La Rocque.
How much gravel do I need 2007-03-31
From linda:
how much gravel do I need for 254 square feet to be 4 inches deep?
Answered by Penny Nom.
How many tons it will take to fill in this area 2007-03-29
From Amy:
I have to fill an area with millings (crushed stone). The measurements are 14 foot long, 14 foot wide, and a depth of 6 inches. How do I find the square footage and how do I convert that into tons? I need to know how many tons it will take to fill in this area.
Answered by Penny Nom.
How many yards of gravel do I need? 2007-03-28
From Joel:
I am constructing a French drain 100 feet long x 6 inches wide by 18 inches deep. Within this trench will be a 4" diameter pipe which will be surrounded by washed gravel. How many yards of gravel do I need? Thanks!
Answered by Stephen La Rocque.
The volume of a cylinder 2007-03-28
From bob:
how do you find the volume of a cylinder that is 12 centimeters wide and 16 centimeters tall?
Answered by Penny Nom.
The volume of a trough 2007-03-27
From Tracy:
I need help trying to find the volume of a 9 ft long trough that has two equilateral triangles on the end. When the water of the trough is 2 feet deep and its depth keeps increasing by 1/2 ft/minute. I have to figure out at what rate the water is flowing into the trough.
Can you point me in the right direction for finding the equation for the volume of the trough?

Answered by Penny Nom.
Painting a pool 2007-03-25
From vincent:
Determine the total cost to put 2 coats of paint on the interior pool and amount of water needed to fill pool

facts:
a gallon of paint will cover 50 square feet and cost $18.00 the pool will be filled when water is leveled 6" from the top of pool there are approximately 7.48 gallons of water per cubic foot Rectangle shape pool 36.0 long and 20.0 wide from top

Answered by Stephen La Rocque.
The volume of a hopper 2007-03-23
From amitesh:
Let me know how to calculate the tonnage of hopper / bins / chutes of different sizes and dimensions.
Answered by Penny Nom.
How many yards of soil is 55 quarts? 2007-03-20
From Claudette:
Costco sells bags of dirt in the quantity "55 quarts".. This makes no sense to me. How many yards of soil is 55 quarts? Thanks!
Answered by Stephen La Rocque.
How many hours will it take to fill completely? 2007-03-19
From Leslie:
If a rectangular prism measures 8" and measures 12" by 16", what is it's volume? If after 8 hours the prism is 6" full, how long will it take to fill and how many hours will it take to fill completely?
Answered by Stephen La Rocque.
The volume of a tube 2007-03-17
From Tiffany:
If I have a 42" diameter tube with 3 1/2" walls and 108" in length. How may gallons of water will it hold? Thank you, Tiffany
Answered by Penny Nom.
A water treatment plant 2007-03-17
From Elvia:
A water treatment plant is built with three cylindrical tanks to contain the water for a town. Each tank has a radius of 15 feet and a depth of 25 feet. If there are 7.5 gallons in a cubic foot of water, approximately how many gallons of water can be treated at the plant at any one time?
Answered by Penny Nom.
A steel pipe pile 2007-03-08
From Sean:
Need to fill a 18" OD x 60 feet steel pipe pile with a wall thickness of 1/2" What is the amount of concrete I need in order to fill? Thank you
Answered by Stephen La Rocque.
An excavation 2007-03-07
From Brandon:
you have and excavation area 140' long by 20' wide by 3' deep. What is the excavated volume?
Answered by Penny Nom and Brennan Yaremko.
How much soil do I get? 2007-03-07
From Robbi:
I have a garden area that is 19 feet by 11 feet and I would like it to be 2 feet deep. I need to know how much soil to get in feet and yards. Could you please give me the formulas to figure this out. Thanks Robbi
Answered by Penny Nom and Melanie Tyrer.
How much fill I would need 2007-03-06
From Tracey:
Oh am I confused! I need to know how much fill I would need to cover an area that is 28 feet in diameter by 8 inches deep. Thank you ...
Answered by Penny Nom.
One acre of water, one foot deep 2007-03-05
From Jeff:
If you have one square acre of ground flooded with one foot of water and a pump that pumps 1000 gallons a minute how long would it take to drain the one acre of ground?
Answered by Penny Nom.
The volume of a trailer 2007-03-04
From Ron:
I just can not seem to work this out, i think it is old age catching up with me, I am buying a trailer that is 25 feet long 7.5 foot wide and with 4 foot sides and i am trying to work out how many m3 it will hold can anyone help. Thank you in advance for any help. Regards Ron
Answered by Penny Nom.
A cylinder with a hemispheric cap 2007-02-25
From lee:
i have a diagram of cylinder with a height of 1.260m and radius 0.340m a hemisphere of radius0.400m is bonded to one end of the cylinder with a constant overlap of 0.06m between them a cylinder of radius 0.170m and length 1.280m is bored out of the composite body what is the volume remaining

also the composite body is to be painted i need to calculate the total area to be covered

could you please have a look thank you

Answered by Penny Nom.
The volume of a cone 2007-02-24
From SAFDAR:
How to derive the formula for volume of cone?
Answered by Penny Nom.
A concrete slab in the shape of a regular hexagon 2007-02-19
From Mandy:
Hi, We are laying a concrete slab in the shape of a regular hexagon with each side being 2m long. The slab will be 10cm thick. How much concrete will we need? Thank you ever so much! Mandy
Answered by Penny Nom.
A concrete foundation 2007-02-15
From Jeremy:
BiltWEll Construction needs to create a concrete foundation. 5ft deep measuring 60ft by 32ft, outside dimensions, with walls 7in. How many cubic yards of concrete will they need?
Answered by Penny Nom.
The volume of a prism 2007-02-14
From jasmine:
What is the formula to find the volume of a triangular prism
Answered by Penny Nom.
Cubic inches 2007-02-13
From Renee:
a glass has a height of 3 inches and a radius of 2 inches. about how many cubic inches of fwater will the glass hold? and how do you figure the answer? thank you...................renee
Answered by Gabriel Potter and Melanie Tyrer.
Volume of an inner tube 2007-02-10
From Bubba:
For a science project, I'm collecting methane gas in an inner tube. In addition to measuring psi of the inner tube, I'd like to calculate the volume of gas collected. What is the formula for or how would I calculate the volume of an inner tube? I appreciate any help you can give me.

Thanks so much. Bubba

Answered by Penny Nom.
The capacity of a tank 2007-02-08
From lorn:
what is the capacity of a tank height is 110 feet diameter is 24 feet
Answered by Brennan Yaremko.
Yardage of dirt fill 2007-02-02
From Gene:
I am removing dirt then replacing it with good dirt. I need to know how many yards of fill dirt it would take to fill a diameter 165 feet with fill of 13 ft would take how many cubic yards of dirt.
Answered by Penny Nom.
Price of topsoil 2007-02-02
From Tyler:
I need to convert cubic yards to square feet. I have topsoil that is $34.30 a cubic yard and I need to know what the price is in square feet. The depth is 18".
Answered by Penny Nom.
The volume of a cone 2007-01-31
From ajay:
WHY VOLUME OF CONE IS ONE THIRD OF THE VOLUME OF CYLINDER?
Answered by Penny Nom.
The density of an irregular wooden block 2007-01-30
From Carlos:
I'm trying to help my son but I don't really have too much knowledge about this topic. he is been asked to convert 10 milliliter to gram, I think that since 1 g = 1ml the answer will be 10 g also there is another question of how of the density of an irregular wooden block is affected if:
a) the center is hollow:
b) the block is not completely submerged when determining the volume.

Answered by Stephen La Rocque and Penny Nom.
Concrete paving blocks 2007-01-29
From Engelbert:
Read-mixed concrete is sold by the cubic yard. A landscape contractor wants to form concrete paving blocks that are rectangular solids with dimensions 36 inches by 36 inches by 6 inches. Assuming there is no waste, how many such blocks can she expect to make from one cubic yard of concrete? (1 yard= 36 inches)
Answered by Stephen La Rocque.
Concrete slab 2007-01-26
From Cindy:
How much concrete will it take to pour a slab 16ft.By 18ft. 3inches deep
Answered by Penny Nom.
The volume of a pool 2007-01-23
From Steve:
how do we measure the cubic feet of a pool. The pool is 50 feet long by 40 feet wide by 4 feet at the shallow end and 9 feet at the deep end.
Answered by Penny Nom.
Calculating a person's volume 2007-01-20
From James:
Hi i am currently trying to calculate my volume. I have tried to do this using a tank of water and measuring the difference. i worked out that my volume is 112 litres. my question is that i want to make a box that would hold my volume and so i need to convert it into centimeters. i know that there are 100 cm^2 in a litre. if i divide this by 4 i would be 91x91x91ft. is this simply to do with density. if so how could i make this more realistic?
Answered by Stephen La Rocque.
A formula for figuring a tanks volume at various levels 2007-01-20
From Dave:
I know there has to be a general formula to figure out a tanks volume where as you know the total volume but you need to know what it will hold at various levels measured in 1/8th inches in depth and that you may be able to plug this formula into a program like say excel and thus create a chart unique to that tank. But for the lack of me I can not figure it out.
Answered by Stephen La Rocque.
Depth and volume in a cylindrical tank 2007-01-20
From Andy:
I need to fill a 10 foot diameter by 35 foot long cylinder 85% full. Is there a way to calculate at what depth equals 85%? ie, if I put a stick in the tank would it be at 8.5 feet?
Answered by Stephen La Rocque.
I need to store 26600 gallons of water 2007-01-17
From Mauricio:
I have to figure out the "height" of a square tank that is 18' wide and 18' deep, so I can store 26600 gallons of water?
Answered by Stephen La Rocque and Penny Nom.
The volume of a frustum of a pyramid 2007-01-17
From Sam:
Find the volume of a frustum of a pyramid with square base of side b, square top of side a, and height h.
Answered by Penny Nom.
The volume of a sphere 2007-01-16
From Anshul:
How to prove or find the volume of sphere?
Answered by Harley Weston.
The volume of a box in cubic yards 2007-01-11
From Robert:
i have a box 44inch high 16foot long on top and 8 foot long on the bottom 5foot wide how do i find the cubic yards
Answered by Penny Nom.
Calculating rainwater volume 2006-12-30
From Mark:
Trying to calculate 1" rainfall on a 1000 sq' roof=how many gallons of water would collect in our cistern.
Answered by Stephen La Rocque.
How many gallons of water does an 8 inch pipe that is 50 foot long hold? 2006-12-29
From Bryan:
How many gallons of water does an 8 inch pipe that is 50 foot long hold?
Answered by Penny Nom.
Drilling holes in a cube 2006-12-12
From Liz:
What is the volume of the solid remaining if a unit cube has a hole drilled thru one face to the opposite side and the hole that is drilled is a cylinder of unit diameter. Then the cube is rotated and an identical hole is drilled from an untouched face to the opposite side. Then the cube is rotated and an identical hole is drilled between the last two untouched faces. This will result in the cube vertices and the remaining volume of the cube falling into 8 parts. What is the total volume of these 8 parts. How is this volume calculated?
Answered by Penny Nom.
The volume of an irregular tetrahedron 2006-12-06
From Hai Van:
Could you please show me the way to calculate the volume of an irregular tetrahedron
Answered by Penny Nom.
Building a corral 2006-11-22
From Dennis:
I'm building a corral and need to know how many holes 6"x24'' in a yard of concrete
Answered by Stephen La Rocque and Penny Nom.
The volume of a box 2006-11-16
From Sam:
I have this box to mail and i would like to find out the cubic foot of the box.The W-52 -D-13- H- 37 inch cubic
Answered by Penny Nom.
A container to hold 600 gallons of water 2006-11-07
From Cissy:
What size rectangular tank would I need to hold about 500-600 gallons of water.
Answered by Penny Nom.
3.253 cubic meters of water 2006-10-31
From Elaine:
a tank full of water that has a volume of 3.253 cubic meters would have a mass of?
Answered by Penny Nom.
Concrete tubes 2006-10-23
From Rick:
I have 36 18” concrete tubes to fill with 36” of concrete. How much concrete will it take to do this job
Answered by Stephen La Rocque.
How many 1 square 3/8 thick pieces of steel can you get from one cubic foot of steel? 2006-10-12
From Jana:
How many 1 square 3/8 thick pieces of steel can you get from one cubic foot of steel?
Answered by Stephen La Rocque.
I have a 3000 sq ft house ... 2006-10-10
From Ann:
I have a 3000 sq ft house and need to use flea foggers. Each fogger treats 6000 cubic feet. How many do I need?
Answered by Stephen La Rocque.
The volume of a hexahedron. 2006-10-04
From A student:
How do i compute volume of a generic hexahedron with all its faces being quadrilateral?
Answered by Penny Nom.
Filling a swimming pool 2006-10-04
From Jon:
what would be the formula to fill a swimming pool in with dirt that is 15ft wide,36ft long and is 8ft deep to 3ft deep
Answered by Penny Nom.
A concrete foundation 2006-10-02
From A homeowner:
I am pouring a concrete foundation 8" X 14" X 23'. How many cubic feet of concrete do I need?
Answered by Penny Nom.
The volume of a cube 2006-09-29
From Greg:
Nicolai said that 6 billion can represent the volume of a cube. How many units long is the cube? How do you know?"
Answered by Stephen La Rocque.
A volume 2006-09-27
From jc:
If I have to pay storage charges on 45 cu ft. What size is that area L X W X H
Answered by Stephen La Rocque.
We need to know how many cubic yards of concrete to order for the job. 2006-09-25
From Linda:
We are pouring an additional drive way and shop in our back yard. The total square foot of all the concrete is 1200 and the concrete will be 3" deep. We need to know how many cubic yards of concrete to order for the job.
Answered by Penny Nom.
Cubic yards of sand 2006-09-20
From Michael:
How many compacted cubic yards of sand are there in 40 acres of land at a depth of 20 feet?
Answered by Stephen La Rocque.
How much water it will hold? 2006-09-20
From Doug:
I have thirty feet of piping that is two inches in diameter and I want to know how much water it will hold and the equation for solving the answer.
Answered by Stephen La Rocque.
A rectangular tank 2006-09-19
From Milton:
What size rectangular tank will I need to hold 841.5 gallons of water. The water level is 3'-0" from the bottom of tank.
Answered by Penny Nom.
The volume of a triangular box 2006-09-12
From Irene:
How do I find the volume of a triangular box?
Answered by Penny Nom.
How much cement would I need? 2006-09-07
From Lou:
At a five to one mix how much sand/gravel and how much cement would I need for a 71/2 yard pour?

What formula would I use for this calculation. My sand/gravel is in a cone shaped pile and I know how to calculate that. I need to know if I have enough and how many bags of cement I need to buy. I will be using a engine operated cement mixer
Answered by Harley Weston.

Cubic feet 2006-09-06
From Tom:
How do I calculate cubic feet ? What is the formula?
Answered by Penny Nom.
I am pouring cement 2006-08-22
From David:

I AM POURING CEMENT

8FT. X 8 FT. X 4 INCHES

8FT. X 8FT. X 5 INCHES.

8FT. X 8FT. X 5 1/2 INCHES.

WHAT IS THE FORMULA?


Answered by Penny Nom.
How many cubic yards of soil is needed 2006-08-16
From John:
how many cubic yards of soil is needed to cover 750 square feet at a height of 3 inches?
Answered by Penny Nom.
A concrete semicircle 2006-08-15
From John:
I have to figure out how many yards of concrete I need for a semicircle. I have a radius of 21 feet and the concrete is 4" thick. I took 3.14 x (21)^2 then divided by 40 to get how many yards of concrete but that doesn't seem right.
Answered by Penny Nom.
Gallons of water in a well 2006-07-31
From Martha:
I have a shallow water well that is 30 feet in depth.

I have 8 feet of water in the well.

The water well is a 30 inch in diameter.

My question : How many gallons of water is in my tank?

Answered by Penny Nom.
The capacity of our hexagon fish tank 2006-07-26
From Doug and Andrea:
My name is Andrea and my son, Doug, and I were wondering what the capacity of our hexagon fish tank was but it’s been so long since I’ve been to school that I’ve forgotten the formula to do so. Would you please help us? The dimensions are: 27 ¾ W x 24L x 29H or one side (glass panel) is 14W x 29H.
Answered by Penny Nom.
How many bags of concrete will we need to use? 2006-07-20
From Sue:
We are trying to pour some concrete
The area measures 26 ft long x 20 in wide. We want to pour the concrete 3 in thick.
One bag covers .41 cu. ft.
How many bags of concrete will we need to use?

Answered by Penny Nom.
Volume of rainfall 2006-07-18
From Randy:
Calculate the amount (in gallons)of rainfall .98 inches will put over an area of 3.76 acres.
Answered by Stephen La Rocque.
Ounces of water to grams 2006-07-16
From Liza:
How many grams is in 10 ounces? I'm asking this question because i just bought a sea monkey and it says add 10 ounces of water and I don't know what that means. I have asked my parents but neither of them know.
Answered by Stephen La Rocque.
Concrete for a chicken coop floor 2006-07-13
From Chelsea:
How much concrete for a chicken coop floor? The dimentions are 3 slabs, 30 feet long and 4 inches thick, 6 feet 6 inches wide. One slab is 41 feet long, 6 feet 6 inches wide, and 4 inches thick.
Answered by Stephen La Rocque.
Some plumbing calculations 2006-07-02
From Steve:

I am preparing to write my journeyman plumber ticket and would appreciate answer/solutions to the following math questions along with the formula to solve them

  1. A range boiler is 16 in. in diameter and 4 ft high. How many gallons will it hold ?
  2. What would the weight in Kg be if the pipe was .4 of a meter in diameter and it was 8.6 m in length
  3. An oil storage tank is 4 m in diameter and 6 m high. How , many liters of oil can be stored

I thank you in advance for your help ... all math books I have are US and nothing is Metric


Answered by Stephen La Rocque and Penny Nom.
Order of operations 2006-06-29
From Jaden:

(1) A triangle has vertices at (-3,-3) (7,-3) and (-2,5). What is the area of the triangle?

Is there a way of doing this so that you dont have to graph it? If the x axis is horizontal can i say it is the base and the y-axis is horizontal meaning the height. Would I be able to do this...-3 to 7-->9 spaces, -3 to 5-->7 spaces-----9(7)63/2=31.5

(2) A cube has a surface area of 54 square centimeters. What is the volume of the cube in cubic centimeters?


Answered by Stephen La Rocque.
The volume of a building 2006-06-28
From A student:
a building is 8 feet wide and 16 feet long. it has a flat roof that is 12 feet high at one corner, and 10 feet high at each of the adjacent corners. what is the volume of the building?
Answered by Penny Nom.
I have a ditch how many tons of dirt will it take 2006-06-25
From Scott:
I have a ditch 200 feet long 10 feet wide and 5 feet deep.How many tons of dirt will it take to fill it?
Answered by Stephen La Rocque.
Gallons in a pool 2006-06-21
From Dave:
is it possible to find out how many gallons of water is in my 18 foot x 12 foot pool it is also about 4 and 1/2 feet deep?
Answered by Penny Nom.
How many bags will it take to cover the area? 2006-06-14
From Ken:
I have area of 160 sq ft. I want to put mulch in the area 2 inches thick. The bag of mulch comes with 2 cu ft of mulch per bag. How many bags will it take to cover the area?
Answered by Penny Nom.
A 52 cubic foot box 2006-06-14
From Konstanze:
I need to figure out what LXHXW I need to create a 1.5 cubic meter or 52 cubic foot volume--there is an answer in your database that relates to this..but it does not give the formula to go from cubic feet/inches to a measurement for a box.

Empirically I can figure out that 3 x 3 x 3 equals 27 and that 3.5 feet (42") x 3.5 x 3.5 equals 42.87 and 3.75 x 3.75 x 3.75 equals 52.73 which is about 1.5 cubic meters (1cubic meter = 52.971643 cubic feet) i.e a box 45 x 45x 45 "

There must be an easier way.

Answered by Penny Nom.
The volume of a roll 2006-06-09
From Yogesh:
I have a roll which height is 63 inches & width is 11 inches i want to know that how to calculate the cubic meter of this roll
Answered by Penny Nom.
A volume of revolution 2006-06-07
From Colleen:
Find the exact volume in cubic units generated by rotating a region, R, around the
y-axis, given that R is the region bounded by the curve y = x3 and the lines x = 1 and
y = 8.

Answered by Penny Nom.
Putting in a sidewalk 2006-05-31
From Sandra:
I am putting in a sidewalk the measurements are 12 feet by22 inches ,by 4inchs how many bags of cement will I need?
Answered by Penny Nom.
what is the cubic feet of 18... 2006-05-27
From A student:
what is the cubic feet of 18"x18"x24"?
Answered by Penny Nom.
Cubic yards of sand 2006-05-26
From Steve:
I need to cover an area with sand that is 30 feet wide and 60 feet long and I need the depth of the sand to be 1/4 inch thick. How many cubic yards of sand will I need?
Answered by Penny Nom.
differentiate the volume of a cylinder with V respect to h 2006-05-24
From A student:
differentiate the volume of a cylinder with V respect to h
Answered by Stephen La Rocque.
The volume of a cylinder 2006-05-22
From A student:
Show that a volume of a cylinder equals to v = A2 / (4πh)
where h= height of the cylinder
A = area of a original paper

Answered by Penny Nom.
A concrete driveway 2006-05-21
From Diane:
I am trying to estimate how many cubic yards of concrete I will need to pave my driveway. I have an area that is 30 ft wide by 25 ft long and then goes into an area that is 10 ft wide by 219 foot long. I would like to make this 4 inches thick. How many cubic yards of concrete will it take to do this?
Answered by Penny Nom.
A box with an interior of 1.26 cu. feet 2006-05-19
From Maria:
I am trying to build a box with an interior of 1.26 cu. feet with all sides equal.
Answered by Stephen La Rocque and Penny Nom.
What is the radius of the sphere? 2006-05-17
From Jimmy:
The surface area and volume of a sphere are both equal to the product of 4-digit whole numbers and pi. What is the radius of the sphere?
Answered by Stephen La Rocque.
The volume of water in a sphere shaped water tower 2006-05-14
From Dan:
I work in the water industry, providing automatic controls for water systems. I was wondering if there was a formula for calculating the volume of water in a sphere shaped water tower? With the use of a pressure gauge we know the elevation of zero water {the bottom of sphere) and the overflow elev. (near the top of sphere) I would like to calculate how many gallons are at any elevation in between.
Answered by Stephen La Rocque.
Landscaping 2006-05-11
From Luke:
HOW MANY CUBIC YARDS OF CONCRETE WILL IT TAKE TO FILL UP A BOX 20FT.X20FT.X6IN DEEP?


HOW MANY CUBIC YARDS OF CONCRETE WILL IT TAKE; I HAVE A 12FT.IN DIAMETER POND AND I WANT TO PUT A 3FT.SIDEWALK AROUND THE OUTSIDE OF IT?

Answered by Stephen La Rocque.
A box with volume 0.78 cu ft 2006-05-10
From Sherrina:
i need to build a box that equals .78 cu ft any ideas on how i do this
Answered by Penny Nom.
How much does 1300cc of liquid weigh? 2006-04-28
From Debra:
How much does 1300cc of liquid weigh, and how is the formula equated?
Answered by Stephen La Rocque.
How many gallons in a cubic foot? 2006-04-24
From Jana:
How many gallons in a cubic foot?
Answered by Stephen La Rocque.
Volume of a tennis ball can 2006-04-16
From Jon:
Tennis balls are generally packaged in circular cylinders that hold 3 balls each. The diameter of a tennis ball is 6.5 cm. Find the volume of a can of tennis balls.
Answered by Stephen La Rocque.
A 20 foot container 2006-04-05
From Karen:
can you tell me how many cubic square meters are in a 20 foot container
Answered by Stephen La Rocque.
The Mitchell Park Domes 2006-04-01
From Nicole:
I would like to know how I could find the volume underneath the Mitchell Park Domes? The Diameter of the Domes is 140ft, 85ft high and 15,000 square feet.
Answered by Stephen La Rocque.
The volume of water in a cone 2006-03-21
From Ghulam:
A vessel has the shape of an inverted cone.The radius of the top is 8 cm and the height is 20 cm. Water is poured in to a height of x cm.Show that if the volume of the water is V cubic cm,then V=(4/75)pi x3.
Answered by Penny Nom.
Quarts, liters cubic yards and soil 2006-03-19
From Kathy:
I am trying to find out how many quarts of dirt there are in a yard of dirt. The local flower store sells bags of dirt that are 20 quarts or 22 liters for $1.25 and another store sells a yard of dirt for $25.00. Which is the better deal?
Answered by Penny Nom.
Building a flower bed 2006-03-17
From Bobby:
I am building a flower bed 60 ft long by 8 ft wide by 3 ft deep. How much dirt will it take to fill it with top soil/dirt.
Answered by Penny Nom.
What is the height of the pot? 2006-03-10
From Michelle:
If a pot is 11 inches in diameter and holds 5.8 litres what is the height of the pot? - assuming it is a cylinder.
Answered by Stephen La Rocque.
The number of gallons in a tank 2006-03-09
From Doug:
We have a round tank that is 216 inches long 64 inches wide across ; how do we find the number of gallons it could hold ?
Answered by Stephen La Rocque.
Balls in a cylinder 2006-03-03
From Roxanne:
If a cylindrical can holds three balls with no room to spare, explain how to find the volume of the air that surrounds the balls in the can. Yet the balls have a diameter of six inches
Answered by Stephen La Rocque.
Volume 2006-03-02
From Irene:
how do you find the volume in cubic units. i need the basic formula to help my child.
Answered by Penny Nom.
A cone with an oval as base 2006-03-01
From Richard:
I am trying to find the volume of a cone that is not round but oval.
Answered by Penn Nom.
The volume & surface area of a rectangular pyramid. 2006-02-27
From Cheryl:
My daughter is working on a math project & we are having a hard time finding the volume & surface area of a rectangular pyramid. Can you help us with this?
Answered by Penny Nom.
One acre 20 feet deep 2006-02-16
From Bob:
How many cubic yards of material are in one acre of land approximately 20 feet deep? What is the approximate weight of one cubic yard of Black dirt, Gravel, and Sand?
Answered by Penny Nom.
A concrete slab 2006-02-13
From Cheryl:
A concrete area that will be used for picnic benches will measure 20 ft on each side. The concrete slab will be 8 inches deep. How many cubic feet of concrete will be needed to construct the patio?
Answered by Penny Nom.
Concrete in a foundation 2006-02-08
From Philippe:
Can you please help me determine how many cubic yard of concrete I need to purchase for a foundation that is 50' by 25.5 by 8' height and how many cubic yard would I need for the slab that is 50' by 25.5 by 0.5
Answered by Penny Nom.
Why 1/3 in the volume formula for a pyramid? 2006-02-03
From Becky:
why is the formula for finding the volume of a pyramid divide by 3?
Answered by Penny Nom.
The box of maximum volume 2006-02-01
From Elizabeth:
A box factory has a large stack of unused rectangular cardboard sheets with the dimensions of 26 cm length and 20 cm width.
The question was to figure what size squares to remove from each corner to create the box with the largest volume.
I began by using a piece of graph paper and taking squares out. I knew that the formula L X W X H would give me volume. After trial and error of trying different sizes I found that a 4cm X 4cm square was the largest amount you can take out to get the largest volume. My question for you is two parts

First: Why does L X H X W work? And second, is their a formula that one could use, knowing the length and width of a piece of any material to find out what the largest possible volume it can hold is without just trying a bunch of different numbers until you get it. If there is, can you explain how and why it works.

Answered by Penny Nom.
Cubic yards of dirt 2006-01-28
From Greg:
How many yards of dirt do i need to cover an area of 1000 ft long, 20 ft wide and 3 inches deep
Answered by Penny Nom.
Concrete tubes 2006-01-14
From Paul:
I have 15 tubes. Each tube measures 12in.x 48in. I have to fill each one with concrete. How do I figure how many cubic yards of concrete I will need?
Answered by Penny Nom.
The volume of a piece of furnature 2006-01-10
From Kimberly:
What is the cubic feet for a piece of furniture that is 38" wide X 45" tall X 18" deep
Answered by Penny Nom.
Barrels of oil in a tank 2006-01-09
From Francis:
How many barrels of oil (42 gallons of oil in one oil tank) would there be in an oil tank that was 15 feet tall and 10 feet across?
Answered by Penny Nom.
The volume of a cylinder 2006-01-04
From Doug:
I have a Cylinder which is 34" x 72" how many gallons will it hold?
Answered by Penny Nom.
Cubic yards of fill 2005-12-23
From Mike:
And I have a question in regards to the amount of fill needed to bring a vacant lot up to "grade level". The lot is 112' x 87' and I need to bring in fill to elevate the finished level up 4'.
Answered by Penny Nom.
A concrete patio 2005-12-06
From Anne:
If you are making a concrete patio 4 inches thick, what is the area of the largest patio you could make if you ordered 2 cubic yards of concrete?
Answered by Penny Nom.
Cubic yards of concrete 2005-11-06
From Cyndi:
I have a carport that is 20' x 31' and a driveway that is 12' x 18' that requires a 3" depth of concrete. I need to now how many cubic yard it will need to complete these two areas.
Answered by Penny.
Volumes 2005-10-31
From Diane:
My name is Diane and I am a returning student to a vocational technical school.

As a reference point to see what I did/didn't remember from my HS math days, I was sent home with a 75 problem math packet. I was fine until I got to computing:


1. the volume of a cylinder-is it pi r2 h?

2. the volume of a cone- is it pi/3 r2 h?

3. the volume of a sphere- I can't even hazard a guess.

Help- my last classroom was 23 years ago, and I've forgotten far too much!

Answered by Penny Nom.
A two cubic foot box 2005-10-27
From Michael:
I need to make a box that measures two cubic feet. It will be used to items in to determine if an inmate has to much property. They can only possess 2 cubic feet of property. How can I convert that into measurements in inches for feet so I can make a box with a lid that is 2 cubic foot. I sure hope you can help me
Answered by Penny Nom.
How many gallons will it hold? 2005-10-16
From Scott:
I am building a pond and need to convert the cubic dimensions into gallons in order to know what size fountain pump to purchase.

My pond is 1 foot deep x eight feet long x three feet wide.

How many gallons will it hold?

Answered by Penny Nom.
Volume of a tank 2005-09-11
From Jim:
We own an Rv and need to actually know the volume of our fresh water tank. I think I'm getting the run around from the manufacturer. I'm unable to locate my chemistry books from from collage. I know there is a formula for the volume of a rectangle some place.
Answered by Penny Nom.
The volume of the earth in gallons 2005-08-18
From Daniel:
I would like to know how to find the volume of the Earth in gallons.
Answered by Penny Nom.
The volume of soil needed to fill a planter 2005-08-10
From Phil:
I need to calculate the volume of soil needed to fill a planter box that measures - 880mm W x 6080mm L x 900mm D.
Answered by Penny Nom.
Cubic feet 2005-08-10
From Selene:
This is my math question I need to convert these inches to cubic feet 34"W x 34"H x 34"L
Answered by Penny Nom.
Cubic yards of sand 2005-08-04
From Beth:
I am trying to figure out how much sand I will need for ground cover under my children's playset. The area to cover is 30' x 30' and I want 4 inches of sand.
Answered by Penny Nom.
Cubic feet in a mobile home 2005-07-22
From Jeanne:
my mobile home is 24 x 56. I'm trying to find out how many cubic feet this is. I'm going to set of some bug bombs and it says 1 can will cover 4000 cubic feet. I don't know how to figure my cubic feet. the ceilings are 8 ft high everywhere but the living and dining room. They are vaulted and approximately 10 feet at the peak. I just need an estimate.
Answered by Penny Nom.
A melting ice sphere 2005-07-09
From A student:
A 2 meter diameter sphere of ice melts at 1.5 millimeters per minute. How many minutes will it take to fill up a hexagonal container measuring 1.5 meters on a side, and 0.8 meters deep?
Answered by Penny Nom.
The volume of a pool 2005-07-09
From Douglas:
I have a pond that I need to treat with an anti algae solution which needs to applied based on the volume of water in the pond (in gallons).

The rough diameter of the surface of the pond = 25 ft
The depth of the pond = 8 ft
The pond shape is conical

How many gallons of water are in my pond?

Answered by Penny Nom.
Digging a hole for a pool 2005-06-08
From Debra:
I need to have dirt hauled away from my built in pool and the haulers are asking me how many yards of dirt there is. How would I figure that out? It is a 24 ft round pool and 3 inches of soil depth was dug out.
Answered by Penny.
The volume of a sphere. Why 4/3? 2005-05-30
From Lauren:
You know when you find the volume of sphere? I know the formula is V= 4/3 pi r3 but why do they use 4/3?
Answered by Penny Nom.
Square feet and cubic feet 2005-05-30
From Kim:
Is there a relationship between square feet and cubic feet?
Answered by Penny Nom.
The volume of a hopper 2005-05-28
From Brian:
I would like to know the volume of this rectangular hopper. can you help
Answered by Penny Nom.
Volume and surface area of a prism 2005-04-29
From Melissa:
Can you please tell me if the volume and surface area of a prism can ever be the same? Could you please explain why or why not.
Answered by Walter Whiteley.
How much sand is in a pile? 2005-04-16
From Larry:
I was wondering if there is a formula for determining how much sand would be in a pile. I am a student in medical school, and this is a bonus question for a test. I hope you can help me.
Answered by Harley Weston.
Some liquid in a cone 2005-04-03
From Vasuki:
There are 2 right cones, height is X. one of them is filled from the bottom up (round side) = x/2, when you invert the cone and add the same amount of liquid inside the second cone, what is the HEIGHT of the liquid?
Answered by Penny Nom.
Gallons in a tank 2005-04-02
From Jim:
Would you be so kind as to help me with a problem? My memory has failed me in remembering how to calculate how much liquid in gallons a tank will hold. The tank is 8 feet long and 44 inches in diameter.
Answered by Penny Nom.
Gasoline in a cylindrical tank 2005-03-23
From Jennifer:

Gasoline is stored in a tank which is a cylinder on its side. Height of fuel is "h" meters and the diameter is "d". The length is "l".

I need to find the amount of gas in the tank when the height is h and also to calculate the fraction of how full it is.

Also, the part I am really confused on is this one,
E(h/d) is the error of the function of h/d, when h/d is used to measure how full the tank is. For what value of h/d is the error maximal?


Answered by Penny Nom.
The volume of a stock tank 2005-03-13
From Cord:
I am a farmer and I have recently installed a new stock tank which is 1650" in circumference and 10' deep. How many gallons of water will it hold?
Answered by Penny Nom.
I need to fill an area with rock 2005-03-04
From Kelly:
if I need to fill an area with rock that is 64 feet long by 4 feet wide and 1 foot 2 inches in depth
how many tons of rock will this job require?
it is also sold by cubic yard how many of these cubic yards will I need?

Answered by Penny Nom.
The volume of a sphere 2005-02-25
From Stephanie:
find the volume of a sphere that has a diameter of 12 cm. please show me how to work this problem
Answered by Penny Nom.
The capacity of a dryer 2005-02-23
From Darlene:
I am trying to figure out the capacity of my dryer. I need to know the size in order to buy a new one. The drum within measures 27" in diameter and 18" deep. I know that I am looking for an answer in cubic feet but am not sure how to determine this.
Answered by Penny Nom.
The weight of some concrete 2005-02-15
From Jordan:
I have 6 acres of concrete that is 3 feet thick the aprox. weight of 1 cubic yard of concrete is 4024 pounds I am trying to find out how much my 6 acres weighs. fortunately my concrete is 3 feet deep.
Answered by Penny Nom.
The volume of an aquarium 2005-02-01
From Selena:
Im trying to figure out the amount of gallons from a rectangle 48x20x12?
Answered by Penny Nom.
The side of a cube 2005-01-17
From Jake:
I have one for you that's got me stumped. Is it possible to calculate the dimensions of a square if I have the cubic feet? Say I know the package to be 180 cubic feet.
Answered by Penny Nom.
Gallons in a cylinder 2004-12-29
From Dean:
I have 2 cylinders:
Cylinder A = 8'D x 12'H
Cylinder B = 10'D x 15'H


Each 1ft represents how many gallons of fluid?

Cylinder A=?

Cylinder B=?

Answered by Penny Nom.
The volume of a sphere 2004-11-30
From Lyndsay:
twenty cubic metres of air are pumped into a spherical hot air balloon with each given diameter: 1.0m; 2.0m; 3.0m; 4.0m; 5.0m;6.0m
a)calculate the new diameter, new suface area, and new volume of each balloon.

Answered by Penny Nom.
Volume of a box 2004-11-18
From Catherine:
I need to find a formula to calculate the amount of liquid would hold. maybe the volume or something. its a square box used to hold liquid on a farm . we want to measure how much liquid it can hold.
Answered by Penny Nom.
Cubic yards of concrete 2004-09-29
From Tanya:
We are starting up a new business and for the business we will be required to order concrete for various shapes. Right now we have a job that requires a concrete slab that a decagon it is 140-3/4" from flat side to flat side, 74" from point to center and each flat side is 46" The pad should be 4" thick with 12"x12" continuous footing.
Answered by Harley Weston.
The volume of a pile of mulch 2004-09-22
From Sam:
Is there a formula to determine the cubic feet of something in a pile. IE- I need to determine the cubic feet of a pile of mulch. The pile comes to a peak, so the length and width decrease as the pile increases.
Answered by Penny Nom.
Volume 2004-09-16
From Jonathan:
I have an area of 22ft x 43 ft, 6 inches high
Sq. ft..946
sq. yds...105.1

What is the cubic feet and cubic yards for this dimension.

Answered by Penny Nom.
A copper sphere 2004-09-12
From Irfan:
The radius of a copper sphere is 3cm. If a wire of 0.4 diameter is drawn by melting it,what is the length of this wire?
Answered by Penny Nom.
Cubic yards 2004-09-01
From Garnet:
I have the dimensions of 16 feet by 10 ft and 3 1/2 inches deep how much concrete do I need.
Answered by Penny Nom.
15 cubic yards of dirt 2004-08-22
From Barry:
My question...what is the equivalent of 15 cubic yards of dirt?
Answered by Penny Nom.
Cubic yards of dirt 2004-08-11
From A parent:
How many cubic yards of dirt would it take to fill an area that is 325 feet by 325 feet and is 3 feet deep?
Answered by Penny Nom.
Water in a cone 2004-07-28
From A student:
A vertically inverted cone( i.e. vertex down) has a radius 7 inches and height 24 inches. Water is filled to one third of its height .Find the ht of water when cone is turned upside down
Answered by Penny Nom.
How much loam to fill a hole? 2004-06-19
From Harry:
Can you tell me how much loam I would need to fill a hole 15 feet in dia. x 6 inches deep.
Answered by Penny Nom.
A garden space 2004-06-16
From Carol:
We have a 17' x 19' garden space. If we want it a foot high raised bed, how many cubic yards of topsoil do we need?
Answered by Penny Nom.
Cubic yards in a pool 2004-05-30
From Jerry:
HAVE A AREA WHERE I HAD A 18 FOOT ROUND POOL.
THE DEEPEST PART IT WAS IN THE GROUND WAS AROUND 7 INCHES TAPERING DOWN TO AROUND 4 TO FIVE INCHES AND A LITTLE OF THE ONE SIDE ALMOST AT GROUND LEVEL...HOW MANY YARDS OF DIRT WOULD I NEED TO FILL IT IN???? IS THERE A FORMULA FOR THAT.......COULD YOU FIGURE THAT FOR ME?

Answered by Penny Mon.
Programming without trig functions 2004-05-25
From Derek:
I am a programmer trying to calculate the following.

What is the formula to find the cross-sectional area of a cylinder with out using any trig functions? or better yet, how can you calculate any given volume in a cylindrical tank with spherical heads with out trig functions?

I am using a PLC (programmable logic controller) to do this and trig functions are not available.

Answered by Harley Weston.
Volume of a box 2004-05-23
From A student:
The area of the top of a closed rectangular box is 252cm2, the area of the front of the box is 105cm2, and the surface of the box is 834in2 (or 5380.64cm2). What is the volume of the box?
Answered by Penny Nom.
Yards in a concrete driveway 2004-04-27
From Bobbi:
I am wondering how many yards of cement I need for a 49 by 45 area, 5 inches thick. I am a stay at home mom who is not very good at math and I want to pave my drive way. Also what would the yardage be for a 6 inch thick drive way with the same area.
Answered by Penny Nom.
Water in a pipe 2004-04-25
From Marlean:
How much water would be in a 480 foot one inch inside diameter pipe?? In imperial gallons please. thanking you in advance for your help in this matter.
Answered by Penny Nom.
The volume of a sphere 2004-03-26
From Mike:
I was in class today and I learned how to calculate the volume of a sphere. I understood it easily but can't find the logic behind it. So here are my questions, in the formula why is the radius cubic and not squared? And what does 4/3 have to do with it?
Answered by Penny Nom.
Volume of a fuel tank 2004-03-01
From Mike:
I have a fuel ank for my big truck that has a radius of 24inches and a length of 65 inches. I am trying to compute the volume of fuel in the tank. I tried pie x the radius squared times the length but no usable results. Can you help me please?
Answered by Penny Nom.
Gallons in a cylinder 2004-02-20
From Jim:
Please advise how to use the formula I saw for determining the number of gallons in a cylinder? This is how it was written V = pi r2 h . does this mean pie, or 3.14 X radius squared, X the height? If so please use a standard 55 gal barrel (1' R & 3' H) for example?
Answered by Penny Nom.
Areas, perimeters and derivatives 2004-02-15
From Geoff:
A recent lecture in my calculus class led me to realize that the derivative of the area of a circle, with respect to the radius is equal to the circumfrence. This also holds true for the relationship between the volume of a sphere and the surface area of that sphere:
why do these hold true? why is it only for circular objects?

Answered by Harley Weston.
The volume of a tetrahedron 2004-02-03
From Joseph:

How do I calculate the volume of a bird tetrahedron. I'm trying to find out to get extra credit. I came with this idea while making a origami tetrahedron.

Joseph

P.S. Do you by any chance have instructions for orig ami figures. If you do, please send me some. Thanks!


Answered by Penny Nom.
Volume of a tube 2004-01-14
From Mike:
where can you find how to get volume of a tube: 3 in across x 3 inch high
5 in across x 5 inch high
same formula for both. ONE will get the other.

Answered by Penny Nom.
A snowball melts 2003-12-11
From Adam:
A spherical snowball has diameter 10cm and density 0.75g/cm3. It is placed in a cylindrical can with diameer 12cm. After the snow melts it turns to water with density 1.0g/cm3. What will be the depth of the water in the can (to 1 decimal place)?
Answered by Penny Nom.
A fish tank 2003-11-26
From Bill:
How do I work out the volume and weight of water in a fish tank that is 36in x 14in x 12in?
Answered by Penny Nom.
The volume of an irregular tetrahedron 2003-11-24
From Peter:
How do I calculate the volume of an irregular shaped tetrahedron where:-
side a = 1.4 m
side b = 1.4 m
side c = 1.2 m
and height = 0.75 m at the junction of sides a and b.

Answered by Penny Nom.
The volume of an earthen pit 2003-09-12
From Bruce:
This shape would occur at the four corners of a rectangular shaped earthen pit with sloping sides (1:1.5). Depth is 14'. Top dimensions are 170' by 158'. After calculating the easy volume components of this shape, we are left with the end corner pieces. 21' base, 14' height, side hypotenuse 25.24' and corner diagonal 32.83'. We're confused. Thank you for any help you may provide.
Answered by Penny Nom.
Water in a tank 2003-09-02
From A parent:
if a tank is 48 inches long 14 inches wide and 18 inches deep if a yardstick was inserted into the tank and measured 2 inches of water in the tank how many gallons of water would be in the tank.
Answered by Penny Nom.
How many cubic yards must I purchase? 2003-08-29
From Walt:

I am trying to determine how much top soil I must purchase (by the yard).

The area is 80' x 15' and I want it 3" thick. How many cubic yards must I purchase?


Answered by Penny Nom.
The volume of a fuel tank 2003-08-16
From Phil:
I hope you can help me out with a small problem. My boat has a fuel tank measuring 1680mm long x 630mm wide x 130mm high. Can you tell me how much fuel it will hold in both litres and imperial gallons.
Answered by Penny Nom.
Water in a cone 2003-08-12
From Adrienne:

Water is poured into a tank in the shape of an inverted right circular cone.ð The height of the tank is 8 m and its radius at the top is 4 m.

a. Draw and label a picture to represent this situation.ð (I know how to do this)

b. Identify all variable quantities. (h = 8m, r = 4m)

c. Find an equation that relates the variable quantities, and reduce the number of variable quantities to two.

I was thinking about the equation V = 1/3 pi r2 h, which is the Volume of a cone, but I am stumped as to how I am supposed to "reduce the number of variable quantities to two." Can you point me in the right direction?


Answered by Penny Nom.
Yards and cubic feet 2003-08-11
From Sonya:
How many cubic feet are in a yard?
Answered by Penny Nom.
Liters in a pool 2003-08-05
From A parent:
I need to know how many litres in a 12 foot diameter, 3 foot deep pool? Any help much appreciated as I need to add the correct amount of chemicals
Answered by Penny Nom.
"cubic feet" of a refrigerator 2003-07-16
From Ron:

Is the volume of a home appliance (e.g. fridge or freezer) calculated in a different way? I am planning to replace both my fridge and my freezer but I'm unable to determine what size replacement to get.

For example, one company descibes their fridge as being 32"(L) x 30"(W) x 66" (H). I converted those measurements to feet (2.67 x 2.5 x 5.5) and I calculate the fridge to be 36.7 cubic feet. However, the company says the fridge is 18 cf.


Answered by Chris Fisher.
Volume of water in a pool 2003-07-06
From An other:
How many litres of water are in a pool that is 16 feet in diameter and 35 inches deep?
Answered by Penny Nom.
How much soil will be removed? 2003-07-02
From Amy:
My site is 1230' (east-west) by 1300' (north-south) and we need to remove 2 feet of soil from the entire site, how much soil will be removed?
Answered by Penny Nom.
The weight of a fish tank 2003-05-20
From A ponderer:
I had a question pertaining conversion units..I have a fish tank at home and the dimensions are 24, 44, and 48 inches, I want to find out how much it weighs in pounds when filled up with water...knowing water is 62.4 pounds per cubic feet...do I just divide the 62.4 pounds to 12 because I"m trying to find out through cubic inches.
Answered by Penny Nom.
The volume of air flowing in windpipes 2003-05-02
From James:
The volume of air flowing in windpipes is given by V=kpR4, where k is a constant, p is the pressure difference at each end, R is the radius. The radius will decrease with increased pressure, according to the formula: Ro - R = cp, where Ro is the windpipe radius when p=0 & c is a positive constant. R is restricted such that:
0 < 0.5*Ro < R < Ro,
find the factor by which the radius of the windpipe contracts to give maximum flow?

Answered by Penny Nom.
The surface area of a cube 2003-04-07
From Sarah:
if the volume of a cube is 64 cm, then what's the total surface area? I also want to know how to show my work.
Answered by Penny Nom.
Doubling the size of an object 2003-04-01
From Dave:
If I have a known surface area and volume of an unknown object and I want to double the size of the object, how do I find the new area and volume?
Answered by Walter Whiteley.
Filling in the back yard with dirt 2003-02-04
From Joe:

We just bought a house and need to start filling in the back yard with dirt to level it out.

I measure 37'x 56' by 2' deep on an angle.

I will be building a retaining wall at the 2' deep portion. The slop will go from the 2' to nothing at the top or near the house. I can't remember how to get the Sq. foot or cubic yards.


Answered by Penny Nom.
Cubic yards in a gravel pile 2003-01-10
From Ron:
I am looking to find a way to measure gravel piles to get yards. They are generaly not square.it would be like pouring sand out of a bag into a pile. they generaly are concave in dimension. can you help. I have attached a picture to show a small scale what I am working on is in much larger volume.
Answered by Harley Weston.
A sphere with a hole - cylindrical shells 2002-12-11
From Kathy:
Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters.) You discover that both napkin rings have the same height, h.
  1. Guess which ring has more wood in it and why.
  2. Check you guess: Use cylindrical shells to compute the volume of a napkin ring created by drilling a hole with radius r through the center of a sphere of radius R and express the answer in terms of h.

Answered by Penny Nom.
The dimensions of a box 2002-12-03
From Paula:
My son, who is in secondary school, needs to make a box with the inside dimensions of 1.25 cubic feet. It's supposed to be more in the shape of a rectangle than a square.

I would like to know the equation to use to find the inside dimensions of a box if I know how many cubic feet (or inches) I need the inside to be.


Answered by Penny Nom.
The volume of a juice jug 2002-11-21
From Edward:
I try to find the measurement for a juice jug. I have the height of the jug and need the jug to hold 2.5 Liter of juice. Can you help me out with the formula.
Answered by Penny Nom.
The volume of water in a hose 2002-11-13
From David:
I trying to find out how much water 500 ft of 3/4 inch hose will hold. I'd also like to know how you figured the answer.
Answered by Penny Nom.
Sanding a wooden block 2002-09-07
From Wanda:
If a wooden block, 2in height, 3in width, and 6in length is sanded and 1/8 of an inch is removed from the top and from the bottom, how much is the volume of the block decreased?
Answered by Penny Nom.
Cubic yards of concrete 2002-08-24
From Michael:
if you have a 10" dia pipe 8' long how many cubic yards would it take to fill with concrete. how how would you go about figuring it out.

and also if you would how many cubic feet, cubic inches in a cubic yard. i know you don't need to answer, seeing i am not in school, but would appreaciate it.


Answered by Penny Nom.
Gallons in a cylindrical tube 2002-08-21
From Heidi:
IF I HAVE A 12" DIA TUBE WITH 1/4" WALL AND 72" IN LENGTH HOW MANY GALLONS OF WATER WILL THIS HOLD
Answered by Penny Nom.
Volume of a sphere 2002-08-16
From Rahul:
How do i find the volume of a sphere without the knowledge of calculus?
Answered by Walter Whiteley.
A box that holds 22.4 liters 2002-07-07
From Jon:
How do I find the measurements required to make a box that holds 22.4 liters of something?
Answered by Penny Nom.
Cubic feet and cubic yards 2002-05-27
From John:
how do you find the cubic feet/cubic yard of area 10 feet wide by 15 ft long by 2 inches high
Answered by Penny Nom.
A 6,000 gallon tank 2002-04-28
From Someone with a big tank:
I was wondering if you can find out information about how much liquid fuel can fit in a 6,000 GAL. tank. Right now I do not have the exact dimensions of this tank but I will have it the 29th of April. Could you please E-mail me and let me know if you can answer this question after I have the correct specifications.
Answered by Penny Nom.
Cubic yards 2002-04-20
From Pat:
I HAVE AN AREA 10'x6'I WOULD LIKE TO PUT LOAM ON IT 5" DEEP HOW MANY CUBIC YARDS OF LOAM DO I NEED?
Answered by Harley Weston.
Catenary 2002-01-02
From Jason:
I am a high school math teacher. I was asked by a friend who is in architectural design for a method for determining the volume of what he called a Catenary.

The Catenary curve is modeled by the equation y=a cosh(x/a). I ran into a mess when I tried to compute the volume of the solid formed by revolving that curve around the y-axis.

Any help you can provide would be greatly appreciated.


Answered by Harley Weston.
A box of pants and shirts 2001-11-17
From Debbie:
I need to determine the volume of a box that is 4'HX4'WX4'L. The box contains uniform pants and uniform shirts. I need to know how many shirts and pants are in the box. When folded, the uniform shirt is .5 inches thick. The pants are also .5 inches thick.
Answered by Penny Nom.
The amount of gravel needed to fill a hole 2001-10-06
From Rhett:
My name is Rhett and my problem is...I am a contractor and I am having problems determining the amount of gravel(in tonnage) needed to fill this hole,the measurements are 60' in length,22' in width,and 14' in height....the problem is that it is not a usual box shaped hole or in this case a rectangle shaped hole,but more of a triangular shaped hole.I refer to the triangular shape as the interior shape of the crater not the exterior,which is shaped like the above dimensions.If you could help it would be greatly appreciated.P.s.This was a retaining wall project,built by myself, in front of a sloped end of a yard,so if you could imagine a 14" high hill with a landslide looking face,then build in your mind a three sided rectangle in front of it using the hill side that slopes as the fourth side of the rectangle,then you may be able to imagine what I mean as a triangular shaped interior of the hole.
Answered by Penny Nom.
A pile of sand 2001-05-14
From Gul:
  1. Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m
    • calculate the volume of the pile

    • if one sander can take 6.9 m of sand, how many sanders can be filled from the pile?

Answered by Penny Nom.
Volume and surface area of a cylinder and a triangular prism 2001-03-31
From Kevin:
I was wondering how do you find the volume and surface area of a cylinder and a triangular prism.
Answered by Penny Nom.
A box with an interior of 1.25 cubic feet 2001-03-26
From Gabe:
I need a box with an interior of 1.25 cubic feet. I am using 3/4 inch material to make the box. What would the exterior dimensions be in inches?
Answered by Harley Weston.
Cubic feet 2001-02-20
From Frances:
I'm trying to calculate cubic feet from the dimensions of a machine given in inches.

Width = 32"
Height = 79.5"
Length = 91.5"
Weight = 3920 lbs

Please help? Obviously I've been away from school too long!!


Answered by Penny Nom.
Building a circular silo 2001-01-24
From Natasha:
We wish to build a circular silo with internal diameter 10 feet. How much concrete will we need to pour the foundation, if we only need a 1 foot wide and 1 foot deep ring on which the silo walls will sit? Assume the 4 inch thick silo wall rests on the middle of the ring.
Answered by Penny Nom.
Square feet and cubic feet 2001-01-21
From Jenny:
How do I convert square feet to cubic feet? If I have 2000 square feet then how many cubic feet do I have?
Answered by Harley Weston.
Filling a tank 2001-01-02
From Liting:
Water flows into a rectangle tank which measures 4 m by 3 m by 2.8 m through a cylindrical pipe of radius 2.4 cm. If the rate at which the water flows into the tank is 8 km/h, find how long it takes to fill the tank.
Answered by Penny Nom.
Volume of a trough 2000-12-09
From Matt:
I have been given the information of the length of the trough, and the end pieces are isosceles triangles, and two equal sides of the triangle are given. I cannot seem to find the answer, nor anything in my book relating to the question.
Answered by Harley Weston.
Volume of a box 2000-11-15
From A student:
A box 3" wide and 2" deep is to have a volume of 2 cubic feet. How long must the box be?

How many pieces of lumber are stacked in a pile 2" high if each board is 3/8" thick?


Answered by Penny Nom.
A trig question 2000-07-01
From Will:
An open rectangular tank a units deep and b units wide holds water and is tilted so that the base BC makes an angle theta with the horizontal. When BC is returned to the horizontal, who that the depth of the water is

(a squared) * cot theta div 2b units


Answered by Harley Weston.
Volume of a sphere 2000-05-21
From Kevin Partridge:
Does anyone have a way to physically demonstrate how to explain the volume formula for a sphere? Or perhaps how to derive the formula without calculus?
Answered by Harley Weston.
Filling a hole 2000-04-01
From John McNeill:
I have an area 20 feet long and 12 feet wide It starts out at a depth of 4 inches and ends up at 0 inches. How much sand do I need to fill the excavation.
Answered by Penny Nom.
Surface area of a sphere 2000-03-22
From Gina Wilkie:
How can I demonstrate to my middle school students the reason for the formula for the surface area of a sphere?
Answered by Walter Whiteley and Chris Fisher.
Putting in a pool 2000-03-16
From Katie:
If your digging a hole for a pool and the pool is:

Length= 11m
Width= 6m
Sallow Depth= 1.1m graduating to
'Deep' Depth= 1.8m

What is the volume of soil that will be taken out? And if a bobcat can excavate and remove 10m3 (qubed) of soil an hour how long will it take him to excavate the soil.


Answered by Penny Nom.
The length of a cylinder 2000-02-17
From Kelly Wichmann:
What is the formula to figure the volume of a cylinder? We have a cylinder that is 2 3/4" in inside diameter and a gallon of oil that needs to fill it. We are trying to figure out how long the cylinder should be. Can you help us?
Answered by Chris Fisher.
Volume of an ellipsoid 1999-12-06
From Michael Nowicki:
I am a physician at the University of Mississippi. I am trying to compare the size of polyps (abnormal growth of tissue in the colon) between 2 groups of individuals. The department of pathology gives the size as length X width X depth - how do I calculate the volume? Polyps are nearly ovoid in shape.
Answered by Walter Whiteley.
Liquid capacity 1999-06-15
From Bernard Antill:
Would you please tell me how many litres of water in a swimming pool that is 24 feet long, 16 feet wide & 4 feet deep. I would appreciate you showing the formula for this calculation. I am a 74 year old male and I cannot find a formula in which I have any faith! I would also appreciate the answer in Imperial gallons.
Answered by Penny Nom.
Measuring the fourth dimension 1999-06-07
From Suzanne Hall:
Hi! The other day, two of my students asked a very interesting question: Is the fourth dimension measured with hypercubes? Their reasoning went like this: Lines are 1D and are measured with line segments, which are part of a line. Planes are 2D and are measured with squares, which are part of a plane. Space is 3D and is measured with cubes, which are part of space. So, logically, hypercubes would be used to measure the fourth dimension.
Answered by Chris Fisher.
Volume of oil in a tank 1999-04-17
From Lars Waldemarsson:
My problem is to get an equation for the depth of the oil in a gastank formed like a cylinder. The cylinder is in a horizontal position and by a stick you will be able to get the depth of the oil in the tank. All I need is an exmaple which I can build on. By this equation you will be able to get the volume of the oil if you know the depth.
Answered by Harley Weston.
Ounces and milliliters 1999-04-17
From Tony Rizzi:
I'm mixing a formula of:

48 oz distilled water.
15 grams of Hydroxy Ethyl Cellulose GR (powder)
30 grams of Hydroxy Ethyl Cellulose MR (powder)
200 grams of Barium Sulfate (powder)
1000 grams of Calcium Hydroxide (powder)

After mixing, I need to estimate the amount of each ingredient that fits in a 3ml syringe. And how many syringes I can fill?
Answered by Harley weston.

Volume of a cube. 1999-04-04
From Alex Elkins:
How do you find the volume cubic matter of a cube or space, example how many cubic feet in an example 6" high 4' X 6' rectangle

Thank You
Answered by Penny Nom.

Volume in gallons 1998-12-09
From Hill Hermit:
Please tell me the formula for computing the volume, in gallons, of a cylinder. Thanks from a parent. American gallons, please.
Answered by Harley Weston.
Platonic Solids Surface Area 1998-12-02
From Rachel Bidwell:
How do you find the surface area of the 5 platonic solids, when they each have a volume of one cubic inch
Answered by Harley Weston.
Volumes 1998-08-29
From Lorraine Wall:
Consider the region in the first quadrant bounded by the x and y axes, the vertical line x=3 and the curve y = 1 / (x squared + 3). Determine the volume of the solid by rotating this region about the x-axis. Now that is the first part.
I then have to find the coordinates of the centroid of the solid by rotating this region about the x-axis.

Thanks.
Lorraine
Answered by Harley Weston.

Area and Volume 1998-07-28
From James Pulver:
I am going into 12th grade and am practicing for the SAT II. I have come across a problem that I cannot solve. It states that the front, side , and bottom faces of a retangular solid have areas of 24 square centimeters, 8 square centimeters, and 3 square centimeters, respectively. What is the volume of the solid. I need to know how to solve similar problems so is there a formula to go from area to volume?
Answered by Jack LeSage.
Volumes of Revolution 1998-07-24
From Lorraine Wall:
I'm on the section fpr The Computation of Volumes of Solids of Revolution and the following question is giving me problems:

-Consider the region in the first quadrant bounded by the x-and y-axes, the vertical line x=3, and the curve y=1/(xsquared + 3) I can determine the volume of the solid by rotating the region about the y-axis using the shell method but I can't seem to be able to get started with the volume when rotated about the x-axis.
Answered by Harley Weston.

What is the volume of a regular tetrahedron? 1996-10-21
From Paul Bleier:
How does one calculate the volume and the height of a three sided pyramid formed by equilateral triangles?
Answered by Bruce Gilligan.
Volume d'une sphere entre 4 autres spheres 2010-01-18
From Bonfils:
Bonjour,

Je souhaiterais en fait calculer le rayon de la sphère max qui pourrait s'insérer entre 4 sphères de rayon connu. Merci par avance pour votre réponse. Sincères salutations

Answered by Chris Fisher.
Le volume d'une boule 2009-10-22
From ve.lu.ch:
Pour calculer le volume d'une boule, il faut utiliser la formule :

4/3 x Pi x R au cube

Pourquoi 4/3 ?

Merci d'avance

Answered by Pierre-Louis Gagnon et Claude Tardif.
Preuve du volume d'une boule 2009-04-06
From Geneviève:
J'aimerais avoir l'explication du volume de la boule, qui est (4pi R au cube) divisé par 3. J'aimerais savoir le pourquoi de l'équation, la preuve de celle-ci. Merci!
Answered by Pierre-Louis Gagnon.
Un volume d'une capacité minimal 2009-01-05
From Pauline:
je doit faire un volume d'une capacité minimal de 2500 cm 3 en quell matiere que ce soit
* un prisme a base pentagonale non réguliere
* une sphere
* stella octangula

Answered by Pierre-Louis Gagnon.
Le volume du tas 2008-05-28
From ribot:
je cherche la formule mathematique du volume d un tas de cailloux formule employée dans le bâtiment
Answered by Thierry Moisan.
Combien vais je avoir de surface ? 2007-05-22
From Maëlle:
J'ai 5m3 de terre et veux en mettre 5 cm partout pour faire un terrain de jeux. Combien vais je avoir de surface ?
Answered by Claude Tardif.
Mesure/volume 2007-05-09
From Ashley:
Calcule le volume des 2 contenants et quels est le plus grands.
Answered by Claude Tardif.
volume d'un cône 2006-11-29
From Emmanuel:
On peut diviser un cube en 3 pyramides et ainsi en déduire le volume d'une pyramide. Mais comment peut-on déduire le volume d'un cône de celui d'un cylindre? Comment visualise-t-on la division d'un cylindre en trois?
Answered by Claude Tardif.
Volume d'un cône 2006-04-24
From Christelle:
Caroline décide de se servir de ses connaissances mathématiques pour "rouler" son petit frère: "Arthur, dit-elle, je te propose que nous mettions chaucun un euro dans l'achat d'un cône glacé. Je mangerai la première, jusqu'à mi-hauteur, et toi, tu auras la seconde moitié." Combien la part de Caroline représenterai-elle par rapport à celle de son petit frère s'il acceptait ?
Answered by Claude Tardif.
les formules d'aire et de volume de les solides 2003-02-01
From Annie:
Je cherche le nom des mathématiciens qui ont découvert les différentes formules d'aire et de volume de tous les solides ( boule, cube, les prismes, cylindre, cône, pyramide, polyèdres réguliers). Je cherche aussi à trouver comment ils ont démontré l'exactitude de ces formules. L'important, c'est de connaître le nom des mathématiciens qui ont découvert ces formules.
Answered by Claude Tardif.
Volume d'une calotte ellipsoidale 2002-12-11
From Fabien:
Quel est le volume d'une calotte d'ellipsoide de hauteur h (ellipse de longueurs d'axes a, b, et c)? Je souhaite une formule exacte, un développement limité, voire une intégrale à estimer numériquement. Quelle méthode pour le calculer ?
Answered by Claude Tardif.
Le volume d'un ellipsoïde 2001-03-17
From Lise:
Je cherche à calculer le volume d'un ovoide, avez-vous une formule?
Answered by Claude Tardif.
Le volume d'une sphère 2000-09-17
From Pitmill:
merci de me donner la formule pour trouver le volume d'une sphère.
Answered by Harley Weston.
Volume tetraedre 1998-02-13
From Solecki Yannick:
j`aimerais savoir s`il existe une formule de calcul simplifie pour trouver le volume du tetraedre en fonction de ses cotes et sans utiliser une expression matricielle.
Answered by Chris Fisher.
 
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