<u>Given</u>:
Given that the radius of a cylinder is 5 units.
The volume of the cylinder is 157 cubic units.
We need to determine the height of the cylinder.
<u>Height of the cylinder:</u>
The height of the cylinder can be determined using the formula,
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
where r is the radius and h is the height of the cylinder.
Substituting r = 5 and V = 157, we get;
![157=(3.14)(5)^2h](https://tex.z-dn.net/?f=157%3D%283.14%29%285%29%5E2h)
Simplifying the terms, we get;
![157=(3.14)(25)h](https://tex.z-dn.net/?f=157%3D%283.14%29%2825%29h)
![157=78.5h](https://tex.z-dn.net/?f=157%3D78.5h)
Dividing both sides by 78.5, we get;
![2=h](https://tex.z-dn.net/?f=2%3Dh)
Thus, the height of the cylinder is 2 units.