SOLUTION: If the radius of a right circular cylinder is tripled and it's altitude cut in half, the what is the ratio of the volume of the original cylinder to the volume of the altered cylin

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Question 1129382: If the radius of a right circular cylinder is tripled and it's altitude cut in half, the what is the ratio of the volume of the original cylinder to the volume of the altered cylinder?
Found 2 solutions by Shin123, josgarithmetic:
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
Tripling the radius multiplys the volume by 9 (3^2=9). Cutting the altitude in half cuts the volume in half so the ratio is 1:4.5 or 2:9.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r, radius
h, altitude


Original volume, %281%2F3%29pi%2Ar%5E2%2Ah

Altered volume, %281%2F3%29pi%2A%283r%29%5E2%2A%28h%2F2%29

Form their ratio and simplify.
%289r%5E2%28h%2F2%29%29%2F%28r%5E2%2Ah%29

%289hr%5E2%28h%2F2%29%29%2F%28r%5E2%2Ah%29

highlight%289%2F2%29