7 items are filed under this topic.
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The volume of a frustum of a cone |
2011-12-24 |
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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. |
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More on a truncated cone |
2010-05-28 |
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From Mike:
Question from Mike, a parent:
I was reviewing this question and answer:
http://mathcentral.uregina.ca/QQ/database/QQ.02.06/phil1.html
But I have trouble with this part:
Now if we express the radius of the inside circle as r and the outside circle's radius is R, then this means r/R is 911/1728. But earlier we said that the outside radius R is simply w more than the inside radius r, so R = r + 282. That means that r/R = r/(r + 282). Now we can simply solve the equation for r:
r/(r+282) = 911/1728
This means r = 314 mm (with rounding).
Can I get more detail on the method to solve for r?
Thank you,
Mike
Answered by Penny Nom. |
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The volume of a frusta of a hexagonal based pyramid |
2010-03-04 |
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From sarah:
Volume of a frusta of a hexagonal based pyramid
Answered by Penny Nom. |
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The volume of a frustum |
2009-12-29 |
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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. |
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Belled-out pier |
2008-01-28 |
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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. |
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The volume of a frustum of a pyramid |
2007-01-17 |
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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. |
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A Frustum |
1999-03-29 |
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From Monica Armour:
What do you call a square pyramid that has had the top chopped off?
Answered by Chris Fisher and Jack LeSage. |
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