







A waste oil tank 
20150613 

From Angela: a waste oil tank is 5 feet wide and 20 feet long, the empty tank on your truck holds 5000 gallons. If 7.48 gallons are in every cubic foot, what is the maximum depth the oil can be to completely fit into your truck? Answered by Penny Nom. 





Water in a spherical container 
20141017 

From Natalie: A spherical container with radius 10cm being filled with water such that the water level, h cm, in the container increase at a rate of 0.5 cm s^(1). Show that the area of the horizontal surface of water, A cm^(2), in the container is given by A = π(20h  h^(2) ). Answered by Penny Nom. 





The depth of a lot 
20131102 

From Gini: what is the depth of a lot with 45 feet frontage containing 1080 sq yards Answered by Penny Nom. 





The length and depth of a chord 
20120816 

From Tim: Can I find the radius of a circle, if I have a chord of 2400mm, and a depth
between the center of the chord and the perimeter of the circle of 150mm ?
Thanks
Tim Answered by Penny Nom. 





An 8 acre property 
20120725 

From Debra: My property is 280 feet wide and I have 8 acres how many feet in depth would make it 8 acres Answered by Penny Nom. 





The depth of a chord 
20120516 

From Tim: For a circle of Diameter 12 Mtrs, I have a chord length of 2 Mtrs,
How can i calculate the distance from the middle of the chord to the
perimeter of the circle Answered by Penny Nom. 





A semicircular roof gutter 
20120409 

From Kyle: A semicircular roof guttering contains some water.
The crosssection of the guttering has a diameter of 10 centimetres. The surface of the water collected in the guttering is 8cm.
What is the depth of water in the gutter? Answered by Penny Nom. 





80,000 yards of dirt 
20100812 

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. 





How deep is the hole? 
20090825 

From Scott: If I have a hole three foot in circumference that runs at a 15degree angle from the surface and continues for a length of 100 feet, how deep would the hole be at 100 feet? Answered by Penny Nom. 





Depth to height ratio 
20090326 

From Janet: Is there a formula to determine how deep something (a cabinet) should be based on how tall it is? Answered by Robert Dawson. 





Related Rates (a water trough) 
20071107 

From Christina: A rectangular trough is 3ft long , 2ft across the top and 4 ft deep. If water flows in at the rate of 2ft^3/min, how fast is the surface rising when the water is 1 ft deep ? Answered by Stephen La Rocque. 





Volume in a triangular water trough 
20070624 

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. 





Relating volume to depth in a cylindrical container 
20070419 

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 55gallon oil drum appears when similarly stowed.
Dan Watley Answered by Stephen La Rocque. 

