SOLUTION: two cylinders have the same volume. If the radius of cylinder 1 is 3 times the radius of cylinder 2, then the height of cylinder 2 is how many times the height of cylinder 1?

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Question 721303: two cylinders have the same volume. If the radius of cylinder 1 is 3 times the radius of cylinder 2, then the height of cylinder 2 is how many times the height of cylinder 1?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
radius of cylinder 1: 3r
radius of cylinder 2: r
height of cyl 1: h
height of cyl 2: y

volume of cylinder 1: pi%2A%283r%29%5E2%2Ah
volume of cylinder 2: pi%2Ar%5E2%2Ay

The volumes are expected to be equal. We want to know the ration of y to h.
pi%2A%283r%29%5E2%2Ah=pi%2Ar%5E2%2Ay
Divide both sides by pi%2Ar%5E2,
9h=y
highlight%28y%2Fh=9%29. Ratio of heights of cylinder 2 to cylinder 1