Question

A cylinder with radius 5 units is shown below. Its volume is 157 cubic units.

Find the height of the cylinder

Answer 1

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,

`V=\pi r^2h`

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`

Simplifying the terms, we get;

`157=(3.14)(25)h`

`157=78.5h`

Dividing both sides by 78.5, we get;

`2=h`

Thus, the height of the cylinder is 2 units.