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?

A. 8.06 cu. in.
B. 10.75 cu. in.
C. 21.5 cu. in.
D. 32.25 cu. in.

Answer 1

B. 10.75 cu. in.

Explanation:

Vol. of cylinder = π
`r^(2)`h = 32.25

If the cone has the same radius and height,

then the vol. of the cone = π
`r^(2)`h/3 = 32.25/3 = 10.75 cu. in.