Question

what is the volume of the cylinder below? a. $96pi$ units$^3$ b. $112pi$ units$^3$ c. $168pi$ units$^3$ d. $84$ units$^3$

Explanation:

Step1: Recall cylinder volume formula

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

Step2: Identify given values

Radius $r = 4$, perpendicular height $h = 6$.

Step3: Substitute values into formula

$V = \pi \times 4^2 \times 6$

Step4: Calculate the result

$V = \pi \times 16 \times 6 = 96\pi$

Answer:

A. $96\pi$ units$^3$