Question

what is the volume of the cylinder shown below? a. $152pi$ units$^3$ b. $64pi$ units$^3$ c. $361pi$ units$^3$ d. $1215pi$ units$^3$

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is radius, $h$ is height.

Step2: Substitute given values

Here, $r=9$, $h=15$. Substitute into formula:
$V = \pi \times 9^2 \times 15$

Step3: Calculate the result

First compute $9^2=81$, then $81 \times 15=1215$. So $V=1215\pi$.

Answer:

D. $1215\pi$ units$^3$