Answer:
The height of cylinder = 7 inches
Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
r - radius
H - height
We have
r = 5 in
V = 175π in³
Substitute:
[tex]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[/tex]
