olymmath

HMMT 2007 G5

  • Geometry
  • Answer

Five marbles of various sizes are placed in a conical funnel. Each marble is in contact with the adjacent marble(s). Also, each marble is in contact all around the funnel wall. The smallest marble has a radius of 8 , and the largest marble has a radius of 18 . What is the radius of the middle marble?

Dataset text NuminaMath olympiads. Quoted with source.

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