Question

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?

8.06 cu. in.
10.75 cu. in.
21.5 cu. in.
32.25 cu. in.

Answer 1

[B. 10.75 cu. in.]

Explanation:

Answer 2

Since the volume of a cylinder is hπr^2 and the volume of a cone is (hπr^2)/3, the volume of the cone will just be 1/3 the volume of the cylinder with the same radius and height. In this case:

V=32.25/3=10.75 in^3