MathDB

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Part of 1985 ITAMO

Problems(1)

Rotating a Right Triangle

Source:

2/1/2006
When a right triangle is rotated about one leg, the volume of the cone produced is 800π800 \pi cm3\text{cm}^3. When the triangle is rotated about the other leg, the volume of the cone produced is 1920π1920 \pi cm3\text{cm}^3. What is the length (in cm) of the hypotenuse of the triangle?
rotationgeometry3D geometry