olymmath

CMO 1995 Problem 4

  • Day 2

Given four spheres with their radii equal to 2,2,3,32,2,3,3 respectively, each sphere externally touches the other spheres. Suppose that there is another sphere that is externally tangent to all those four spheres, determine the radius of this sphere.

Dataset text AI-MO AoPS. Quoted with source.

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