Question

A sphere with radius r just fits in a cylinder. Find the ratio between their volumes.​

Answer 1

Answer:

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Step-by-step explanation:

So the volume of the sphere is 1/2 - 1/3 = 1/6 the volume of the large cylinder, using Euclid's result. It follows that the volume of the sphere is 4/6 = 2/3 of the volume of the circumscribed cylinder. This is the equation Archimedes wanted engraved on his tombstone