Question

select the correct answer.

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.

Explanation:

Relate the volume of a cone to a cylinder

$$ V_{\text{cone}} = \frac{1}{3} \pi r^2 h = \frac{1}{3} V_{\text{cylinder}} $$

Calculate the cone's volume

$$ V_{\text{cone}} = \frac{1}{3} \times 32.25 = 10.75\text{ cu. in.} $$

Answer:

• (A) 8.06 cu. in.
• (B) 10.75 cu. in. (Correct answer)
• (C) 21.5 cu. in.
• (D) 32.25 cu. in.