Given:
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.
Height of the cylinder:
The height of the cylinder can be determined using the formula,
[tex]V=\pi r^2h[/tex]
where r is the radius and h is the height of the cylinder.
Substituting r = 5 and V = 157, we get;
[tex]157=(3.14)(5)^2h[/tex]
Simplifying the terms, we get;
[tex]157=(3.14)(25)h[/tex]
[tex]157=78.5h[/tex]
Dividing both sides by 78.5, we get;
[tex]2=h[/tex]
Thus, the height of the cylinder is 2 units.
