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:

$\frac{81\pi}{\pi3^2}=h$

Simplifying:

$9=h$

The height is 9 centimeters.