A cylinder has a volume of 72 inches. what is the volume of a cone with the same height and radius as the cylinder? Explain

Question

asked Jun 20, 2019 191k views

1 Answer

Pikzen · Answer 1 · 2019-06-25T01:15:30+0000

The formula of a volume os a cylinder:

$V=\pi r^2H$

r - radius

H - heihgt

The formula of a volume of a cone:

$V=(1)/(3)\pi r^2H$

r - radius

H - height

If a cylinder and a cone have the same radius and height then the volume of a cone is three times smaller than a volume of a cylinder.

Therefore

V_(cone)=(1)/(3)V_(cylinder)

We have

$V_(cylinder)=72\ in^3$

Substitute:

$V_(cone)=(1)/(3)\cdot72=24\ in^3$