Question

If the volume of a cylinder is 81 pi centimeters cubed. If the radius is 3 cm what is the height of the cylinder

Answer 1

EXPLANATION

If the volume of the cylinder is 81pi cubic centimeters and the radius is 3cm, the height would be given by the following equation:

`Volume=\pi\cdot r^2\cdot h`

Replacing terms:

`81\pi=\pi\cdot3^2\cdot h`

Isolating h:

`(81\pi)/(\pi3^2)=h`

Simplifying:

`9=h`

The height is 9 centimeters.