Question

The volume of a cylinder is 90pie cm³. If the radius is 3 cm, what is the height

of the cylinder?

Answer 1

The height of the cylinder is 10 cm.

Explanation:

1. The volume of a cylinder is given by

-V = pi r^2 h where r is the radius and h is the height

- 90 pi = pi r^2 h

2. We know the radius is 3

-90 pi = pi (3)^2 h

-90 pi = 9 pi h

3. Divide each side by 9 pi

- 90 pi /9 pi = 9 pi h / 9pi

- 10 =h

The height of the cylinder is 10 cm.