Question

The volume of a cylinder is 405 pie cm and the radius is 9cm. Find the height.

Answer 1

5 cm

Explanation:

The formula for the volume of a cylinder is:

`Volume=\pi r^2 h`

It is given,

V =
`405\pi`

r = 9

We substitute into formula and find height (h). Shown below:

`V=\pi r^2 h\\405\pi = \pi (9)^2 h\\405\pi = \pi(81)h\\(405\pi)/(81\pi)=h\\h=5`

The height is 5 cm