SOLUTION: There are two cones. one smaller than the other. Small cone is 13.5m by 30m. large cone is 22.5m by 50m. What is the ratio between the volume of the smaller cone and the volume

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Question 632487: There are two cones. one smaller than the other. Small cone is 13.5m by 30m. large cone is 22.5m by 50m.

What is the ratio between the volume of the smaller cone and the volume of the larger cone, expressed as a decimal?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
There are two cones. one smaller than the other. Small cone is 13.5m by 30m. large cone is 22.5m by 50m.

What is the ratio between the volume of the smaller cone and the volume of the larger cone, expressed as a decimal?
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Vol+=+pi%2Ar%5E2%2Ah%2F3
r is 2nd power, h is 1st
Volume is a function of r squared, and of h
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R = radius of larger cone, r is smaller
H = ... etc
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Ratio+=+%28R%2Fr%29%5E2%2A%28H%2Fh%29
= %2822.5%2F13.5%29%5E2%2A%2850%2F30%29
= %285%2F3%29%5E2%2A%285%2F3%29
= 125/27
Small to large = 27/125
= 0.216:1