1 Answer

Yasutaka · Answer 1 · 2020-04-07T14:35:03+0000

Answer:

The height of cylinder = 7 inches

Explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have

r = 5 in

V = 175π in³

Substitute:

$175\pi=\pi(5^2)(H)\\\\175\pi=25\pi H\qquad\text{divide both sides by }\ 25\pi\\\\(175\pi)/(25\pi)=(25\pi H)/(25\pi)\\\\7=H\to H=7\ in$