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2004 AMC 12B Question 19

AMC12 · 2004 AMC 12B

Question 19

A truncated cone has horizontal bases with radii $18$ and $2.$ A sphere is tangent to the top, bottom, and lateral surface of the truncated cone. What is the radius of the sphere?
  1. $6$
  2. $4\sqrt{5}$
  3. $9$
  4. $10$
  5. $6\sqrt{3}$