Question

The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1152π cubic centimeters and a height of 8 centimeters. What is the radius of the can?

Answer 1

The radius of the can is 12 cm

Explanation:

we know that

The volume of a cylindrical can i equal to

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

we have

`V=1,152\pi\ cm^3`

`h=8\ cm`

substitute the given values in the formula

`1,152\pi=\pi r^(2) (8)`

solve for r

simplify

`1,152=r^(2) (8)`

`r^2=144\\r=12\ cm`