Watermelon Riddle

Geometry Level 4

An artist has delicately taken out a conical portion from a spherical watermelon with radius R=5,R=5, as shown.

Instead of a flat circular base, this special cone has a spherical cap (retaining its peel) with a cross-sectional base radius of r=3.r = 3.

What is the ratio of the volume of the original whole sphere to that of this spherical cone?

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