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

Answer:

The radius of the can is 12 cm

Step-by-step 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

$1,152=r^{2} (8)$

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