The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

Question

asked Jun 15, 2018 88.7k views

1 Answer

Jaspreet Chahal · Answer 1 · 2018-06-19T22:33:10+0000

The volume of a cylinder with a radius r and a height h:

$V_1=\pi r^2h$

The volume of a cone with a radius r and a height h:

$V_2=(1)/(3)\pi r^2h$

Therefore

V_2=(1)/(3)V_1

We have
$V_1=32.25\ in^3$

Substitute:

$V_2=(1)/(3)\cdot32.25=10.75\ in^3$

Answer: The volume of a cone is equal 10.75 in³