SOLUTION: Two similar cones have heights of 3 feet and 12 feet. What is the ratio of the volue of the small cone to the volume fo the large cone?

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Question 746628: Two similar cones have heights of 3 feet and 12 feet. What is the ratio of the volue of the small cone to the volume fo the large cone?
Answer by KMST(5328) About Me  (Show Source):
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For similar solids, the ratio of the volumes equal thr\e ratio of the lengths cubed.
The ratio of the heights is 3%2F12=1%2F4 or 1:4.
The small cone is 1%2F4 as tall as the large cone.
The ratio of the volumes is %281%2F4%29%5E3=1%2F64 or 1:64.
The volume of the small cone is 1%2F64 of the volume of the large cone.