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,
$h=5inches$

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,

$h = \frac{62.8}{3.14 \times {(2)}^{2} }$

We simplify to get,

$h = \frac{62.8}{12.56}$

$h = 5$


Therefore the height of the cylinder is 5 inches.