SOLUTION: A cone’s height is reduced to 3/8 of its original length, and its radius is tripled. How has the volume of the cone changed?

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Question 973919: A cone’s height is reduced to 3/8 of its original length, and its radius is tripled. How has the volume of the cone changed?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
volume, v=%281%2F3%29h%2Api%2Ar%5E2

Change h to %283%2F8%29h and change r to 3r.
Simplify and compare.


v%5Bn%5D=%281%2F3%29%283%2F8%29h%2Api%2A%283r%29%5E2
%281%2F3%29h%2Api%2Ar%5E2%2A%283%2F8%29%2A9
%28%281%2F3%29h%2Api%2Ar%5E2%29%2A%283%2F8%29%2A9
v%2A%283%2F8%299
highlight%28v%5Bn%5D=v%2A%2827%2F8%29%29