Posted by **Anna** on Monday, May 21, 2012 at 4:37am.

The volume of an oblique cone with equal diameter and height is 18pi cm^3. Find the height and radius(to the nearest cm).

- Geometry -
**Jai**, Monday, May 21, 2012 at 6:06am
recall that the volume of an oblique cone is given by

V = (1/3)*(πr^2)*h

where

r = radius of circle (the base)

h = height

since diameter is equal to the height, we can say that

h = d = 2r

substituting,

V = (1/3)π(r^2)(2r)

18π = (2/3)π(r^3)

18*(3/2) = r^3

27 = r^3

r = 3 cm

h = 6 cm

hope this helps~ :)

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