Question

The volume of a cylinder is 32.35 cubic inches. If a cone has the same height and radius as the cylinder, what is it’s 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 in^3

Explanation:

Let's compare the formulas for the volume of a cylinder and the volume of a cone, where the radii and the height of one are the same as the radii and the height of the other:

cylinder: V = pi*r^2*h

cone: V = (1/3)pi*r^2*h

Thus, in this problem the volume of the cone is one third of 32.35 in^3, or 10.78 in^3. Answer B is closest to this result.