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2001 AMC 10 Question 21

AMC10 · 2001 AMC 10

Question 21

A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone. The cone has diameter $10$ and altitude $12,$ and the axes of the cylinder and cone coincide. Find the radius of the cylinder.
  1. $\dfrac83$
  2. $\dfrac{30}{11}$
  3. $3$
  4. $\dfrac{25}{8}$
  5. $\dfrac72$