Mathegoras

Solid geometry › Composite solids and recasting › Composite solids

Hypotenuse from two cone volumes

High school · ●●●○○ 50 pts

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

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right trianglesvolume of conesvolumes of revolutionPythagorean theorem