Question

what is the volume of the cylinder below? a. $360pi$ units$^3$ b. $560pi^2$ units$^3$ c. $1080pi$ units$^3$ d. $2160pi$ units$^3$

Explanation:

Step1: Recall cylinder volume formula

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

Step2: Identify given values

Here, $r = 12$, $h = 15$.

Step3: Calculate $r^2$

$r^2 = 12^2 = 144$

Step4: Substitute into volume formula

$V = \pi \times 144 \times 15$

Step5: Compute the product

$144 \times 15 = 2160$, so $V = 2160\pi$

Answer:

D. $2160\pi$ units$^3$