Question

question 2 of 10 which solid has a greater volume? a. figure a has a greater volume. b. figure b has a greater volume. c. they are equal. d. it cannot be determined.

Explanation:

Step1: Recall volume formulas

The volume formula for a cone is $V_{cone}=\frac{1}{3}\pi r^{2}h$, and for a cylinder is $V_{cylinder}=\pi r^{2}h$.

Step2: Calculate volume of cone

Given $r = 5$ and $h=9$ for the cone, then $V_{cone}=\frac{1}{3}\pi\times5^{2}\times9=\frac{1}{3}\pi\times25\times9 = 75\pi$.

Step3: Calculate volume of cylinder

Given $r = 1$ and $h = 75$ for the cylinder, then $V_{cylinder}=\pi\times1^{2}\times75=75\pi$.

Answer:

C. They are equal.