## Challenge 335: Contained in a Cone

The base radius and the height of a cone C are equal.

The largest possible sphere, S, is fitted completely inside C.

What is the exact proportion of the volume of C that is filled by S?

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The base radius and the height of a cone C are equal.

The largest possible sphere, S, is fitted completely inside C.

What is the exact proportion of the volume of C that is filled by S?