Question

A cone and cylinder have the same height and their bases are congruent circles. If the volume of the cylinder is 120 cubic inches, what is the volume of the cone?

Answer 1

Volume of cone = 40 in³

Explanation:

Given:

Volume of cylinder = 120 in³

Height of cylinder = Height of cone

Radius of cylinder = Radius of cone

Find:

Volume of cone

Computation:

Volume of cylinder = πr²h = 120 in³

Volume of cone = (1/3)πr²h

So,

Volume of cone = (1/3)(120)

Volume of cone = 40 in³