ANSWER
![V=375\pi\operatorname{cm}^3]()
Step-by-step 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:
![V=\pi\cdot r^2\cdot h]()
where r = radius
h = height
Therefore, the volume of the cylinder with radius of 5 cm and a height of 15 cm is:
![\begin{gathered} V=\pi\cdot5^2\cdot15 \\ V=\pi\cdot25\cdot15 \\ V=375\pi\operatorname{cm} \end{gathered}]()
That is the volume of the cylinder.