Question

what is the volume of the cylinder below? a. 352π units³ b. 1815π units³ c. 204π² units³ d. 968π units³

Explanation:

Step1: Recall volume formula

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

Step2: Identify values

From the image, $r = 11$ and $h=15$.

Step3: Substitute values

Substitute $r = 11$ and $h = 15$ into the formula: $V=\pi\times(11)^{2}\times15$.

Step4: Calculate

First, $(11)^{2}=121$. Then, $121\times15 = 1815$. So, $V = 1815\pi$ units$^{3}$.

Answer:

B. $1815\pi$ units$^{3}$