ANSWER
[tex]V=375\pi\operatorname{cm}^3[/tex]
EXPLANATION
We want to find the exact volume of the cylinder.
To do this, we apply the formula for volume of a cylinder. That is:
[tex]V=\pi\cdot r^2\cdot h[/tex]
where r = radius
h = height
Therefore, the volume of the cylinder with radius of 5 cm and a height of 15 cm is:
[tex]\begin{gathered} V=\pi\cdot5^2\cdot15 \\ V=\pi\cdot25\cdot15 \\ V=375\pi\operatorname{cm} \end{gathered}[/tex]
That is the volume of the cylinder.
