Question

a cylinder has a radius of 5 inches and the total volume of 175 pi cubic inches. what is the height of cylinder?​

Answer 1

Answer:

The height of cylinder = 7 inches

Step-by-step 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:

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