the volume of a cylinder is 75 pi cubic inches. the cylinder has a height of 3 inches. what is the radius of the base of the cylinder?

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15-01-2015
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the volume of a cylinder is 75 pi cubic inches. the cylinder has a height of 3 inches. what is the radius of the base of the cylinder?

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thisisbenmanley thisisbenmanley · Answer 1 · 2015-01-15T23:23:59-05:00

The volume of a cylinder is found with the equation

V = πr²h, where V = volume, r = radius of the base, and h = height. So, we can plug in the volume and height you have to calculate the radius:

(Sorry that the pi symbol doesn't show up, the equation program is messed up:)

[tex]V= (pi)r^2h\75pi=(pi)r^2(3)\75pi=3pi *r^2[/tex]

Then, divide each side by 3 pi:

[tex]75pi=3pi *r^2\75pi/3pi=3pi/3pi*r^2\25=r^2\r=5[/tex]

So, the radius of the base of the cylinder is 5 inches.