find the volume of the cylinder.

Explanation:

Step1: Identify formula

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

Step2: Substitute values

Given $r = 5$ m and $h=15$ m, substitute into the formula: $V=\pi\times(5)^{2}\times15$.

Step3: Calculate

First, $(5)^{2}=25$. Then $V=\pi\times25\times15 = 375\pi$ $m^{3}$. If we take $\pi\approx3.14$, then $V\approx375\times3.14 = 1177.5$ $m^{3}$.

Answer:

$375\pi$ $m^{3}$ (or approximately $1177.5$ $m^{3}$)