Answer:
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:
[tex]\large\boxed{H=9\ cm}[/tex]
Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
r - radius
H - height
We have
[tex]V=441\pi\ cm^3,\ r=7\ cm[/tex]
Substitute:
[tex]\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][/tex]
