A cone is inscribed in a sphere of fixed radius (the apex and the entire circular base rim lie on the sphere), so that its volume is as large as possible.
Find the ratio of the volume of this cone to the volume of the sphere.
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A cone is inscribed in a sphere of fixed radius (the apex and the entire circular base rim lie on the sphere), so that its volume is as large as possible.
Find the ratio of the volume of this cone to the volume of the sphere.
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