Question

The volume of a cylinder is 441pi cubic centimeters and it’s radius is 7 centimeters. What is the height of the cylinder ?

Answer 1

V = pi * r^2 * h

441 pi = pi * 7^2 * h divide out pi

441 = 49 * h divide both sides by 49

9 cm = h

Answer 2

`\large\boxed{H=9\ cm}`

Explanation:

The formula of a volume of a cylinder:

`V=\pi r^2H`

r - radius

H - height

We have

`V=441\pi\ cm^3,\ r=7\ cm`

Substitute:

`\pi(7^2)(H)=441\pi\qquad\text{divide both sides by}\ \pi\\\\49H=441\qquad\text{divide both sides by 49}\\\\H=9\ cm`[/tex]