Question

what is the volume of the cylinder below? a. $378pi$ units³ b. $288pi$ units³ c. $168pi$ units³ d. $252pi$ units³

Explanation:

Step1: Recall cylinder volume formula

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

Step2: Identify given values

From the diagram, the base radius $r = 6$, and the perpendicular height $h = 7$.

Step3: Substitute values into formula

$$V = \pi \times 6^2 \times 7$$

Step4: Calculate the result

First compute $6^2 = 36$, then $36 \times 7 = 252$. So $V = 252\pi$.

Answer:

D. $252\pi$ units$^3$