Question

question 5 of 10
what is the volume of the cylinder below?
a. 432π units³
b. 216π units³
c. 288π units³
d. 324π units³

Explanation:

Step1: Identify the formula for the volume of a cylinder

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

Step2: Determine the radius and height values

From the figure, the radius $r = 6$ and the height $h=8$.

Step3: Substitute values into the formula

$V=\pi\times6^{2}\times8$.
First, calculate $6^{2}=36$. Then, $V=\pi\times36\times8 = 288\pi$.

Answer:

C. $288\pi$ units$^{3}$