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Lubov Fominskaja [6]
3 years ago
9

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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