Question

This cylinder is 6 inches tall & has a volume of 60πin^3. Find the area of the cross section

Answer 1

Given:

Height of cylinder = 6 inches

Volume of cylinder = 60π in³

To find:

The area of the cross section.

Solution:

Volume of cylinder:

`V=\pi r^2h`

`\pi r^2h=60\pi`

Cancel the common factor π on both sides.

`r^2h=60`

Substitute h = 6.

`r^2* 6=60`

Divide by 6 on both sides, we get

`r^2=10`

Taking square root on both sides.

`r=√(10)` inch

Area of cross section =
`\pi r^2`

`=\pi (√(10) )^2`

`=10 \pi` in²

The area of the cross section is 10π in².