# Watermelon Riddle

Geometry Level 4

An artist has delicately taken out a conical portion from a spherical watermelon with radius $R=5,$ 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 $r = 3.$

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

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