Putnam 1948 A2
- Session A
Two spheres in contact have a common tangent cone. These three surfaces divide the space into various parts, only one of which is bounded by all three surfaces, it is "ring-shaped." Being given the radii of the spheres, and , find the volume of the "ring-shaped" part. (The desired expression is a rational function of and )
Dataset text AI-MO AoPS. Quoted with source.
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