olymmath

HMMT 1999 G6

  • Geometry
  • Answer

A sphere of radius 1 is covered in ink and rolling around between concentric spheres of radii 3 and 5. If this process traces a region of area 1 on the larger sphere, what is the area of the region traced on the smaller sphere?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{9}{25}

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