Difference between revisions of "1985 AIME Problems/Problem 2"
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==Problem== | ==Problem== | ||
| − | When a right triangle is rotated about one leg, the volume of the cone produced is <math>800\pi \ | + | When a [[right triangle]] is rotated about one leg, the [[volume]] of the [[cone]] produced is <math>800\pi \;\textrm{ cm}^3</math>. When the [[triangle]] is rotated about the other leg, the volume of the cone produced is <math>1920\pi \;\textrm{ cm}^3</math>. What is the length (in cm) of the [[hypotenuse]] of the triangle? |
==Solution== | ==Solution== | ||
| − | + | {{solution}} | |
| − | *[[ | + | ==See Also== |
| − | *[[ | + | *[[1985 AIME Problems/Problem 1|Previous Problem]] |
| − | + | *[[1985 AIME Problems/Problem 3|Next Problem]] | |
| − | *[[ | + | *[[1985 AIME]] |
Revision as of 22:21, 7 November 2006
Problem
When a right triangle is rotated about one leg, the volume of the cone produced is 
. When the triangle is rotated about the other leg, the volume of the cone produced is 
. What is the length (in cm) of the hypotenuse of the triangle?
Solution
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