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.

B: 10.75 in^3

Step-by-step 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.