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3 years ago

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

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Answer:

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

Step-by-step 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]

pychu [463]3 years ago

8 0

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

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