Suppose that the height of a cylinder is 30cm and its volume is 750π cm^{2}. Find its radius.

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For this problem, you have that the volume of a cylinder is 750π. Given that the formula for the volume of a cylinder is:

V = πr^2h

Then we plug in the facts that we know V = 750π, and h = 30:

750π = π r^2 (30)

Dividing both sides by 30π :

25 = r^2

Taking the square root of both sides:

5 = r

So the radius of the cylinder is 5

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