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  • 22-02-2019
  • Mathematics
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The volume of a cylinder is 225pi in.Cubed and the height of the cylinder is 1 in. What is the radius of the? cylinder?

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gmany
gmany gmany
  • 22-02-2019

Answer:

r = 15 in

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=225\pi in^3\\\\H=1\ in[/tex]

Substitute:

[tex]225\pi=\pi r^2(1)[/tex]            divide both sides by π

[tex]225=r^2\to r=\sqrt{225}\\\\r=15\ in[/tex]

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