Suppose that the height of a cylinder is 30cm and its volume is 750π cm2. 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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