SOLUTION: find the volume of a frustum of a cone with bases of radii 5cm and 19cm. The height of this frustum is 6cm.

Algebra ->  Formulas -> SOLUTION: find the volume of a frustum of a cone with bases of radii 5cm and 19cm. The height of this frustum is 6cm.      Log On


   

Question 163915: find the volume of a frustum of a cone with bases of radii 5cm and 19cm. The height of this frustum is 6cm.
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let h be the height, R the radius of the lower base, and r the radius of the upper base,then its volume is:
V+=+%28pi%2Ah%2F3%29%28R%5E2%2BR%2Ar%2Br%5E2%29
Substituting
R = 19
r = 5
h = 6
into the formula, we have
V+=+%28pi%2Ah%2F3%29%28R%5E2%2BR%2Ar%2Br%5E2%29
= %283.14%2A6%2F3%29%2819%5E2%2B19%2A5%2B5%5E2%29
= 3032.68%28cm%29%5E3