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1985 AIME Question 2

AIME · 1985 AIME

Question 2

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