Question

A can has a radius of 2 inches and a volume of 62.8 cubic inches. Find the height of the can.

The formula for the volume of a cylinder is V=\pi r^2h V = π r 2 h . Rewrite this formula to solve for h.

Use your formula to find the height, h, of the can. Use 3.14 for \pi π .

Answer 1

ANSWER
The height of the cylinder is,

`h=5inches`

Step-by-step explanation

The volume of a cylinder can be found using the formula,


`V = \pi {r}^(2) h`

To make h the subject, we divide through by

`\pi \: {r}^(2)`

This will give us,


`\frac{V}{ \pi \: {r}^(2) } = h`

We now substitute


`V=62.8`

`r = 2`
and


`\pi = 3.14`

into the given expression for h to obtain,


`h = \frac{62.8}{3.14 * {(2)}^(2) }`

We simplify to get,


`h = (62.8)/(12.56)`


`h = 5`


Therefore the height of the cylinder is 5 inches.