find the volume of the cylinder. either enter an exact answer in terms of π or use 3.14 for π.

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 radius and height

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

Step3: Substitute values into formula

$V=\pi\times8^{2}\times6$.

Step4: Calculate the result

$V=\pi\times64\times6 = 384\pi$. If we use $\pi = 3.14$, then $V=3.14\times64\times6=3.14\times384 = 1205.76$.

Answer:

$384\pi$ (exact answer in terms of $\pi$) or $1205.76$ (using $\pi = 3.14$)