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1998 AMC 12 Question 18

AMC12 · 1998 AMC 12

Question 18

A right circular cone of volume $A,$ a right circular cylinder of volume $M,$ and a sphere of volume $C$ all have the same radius, and the common height of the cone and the cylinder is equal to the diameter of the sphere. Then
  1. $A-M+C=0$
  2. $A+M=C$
  3. $2A=M+C$
  4. $A^2-M^2+C^2=0$
  5. $2A+2M=3C$