Question

A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Show all work

Answer 1

24 cubic inches

Explanation:

The formulas for the volume of a cylinder and cone are ...

volume of a cylinder = πr^2·h

volume of a cone = (1/3)πr^2·h

For the same radius and height, the cone has 1/3 the volume of the cylinder. Your cone's volume is ...

(1/3)·(72 cubic inches) = 24 cubic inches