olymmath

AIME 1985 Problem 2

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When a right triangle is rotated about one leg, the volume of the cone produced is 800π   cm3800\pi \;\textrm{ cm}^3. When the triangle is rotated about the other leg, the volume of the cone produced is 1920π   cm31920\pi \;\textrm{ cm}^3. What is the length (in cm) of the hypotenuse of the triangle?

Dataset text AIME 1983 to 2026. Quoted with source.

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