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MathNet 2007-part-03 — 185 problems (EN–VI) Question 141

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 141

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?