SOLUTION: If the radius of the cylinder is halved,find the ratio of the volume of the new cylinder formed to its orginal one, assuming that the height remains unchanged?

Question 923852: If the radius of the cylinder is halved,find the ratio of the volume of the new cylinder formed to its orginal one, assuming that the height remains unchanged?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the radius of the cylinder is halved,find the ratio of the volume of the new cylinder formed to its orginal one, assuming that the height remains unchanged?
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Original Volume:: V = pi*r^2*h
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Modified Volume::
V' = pi(r/2)^2*h
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V' = (1/4)pi*r^2*h
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Ratio of new to original:: V'/V = (1/4)pir^2h/(pir^2h) = 1/4 = 1:4
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Cheers,
Stan H.
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