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1954 AMC 12 Question 27

AMC12 · 1954 AMC 12

Question 27

A right circular cone has for its base a circle having the same radius as a given sphere. The volume of the cone is one-half that of the sphere. The ratio of the altitude of the cone to the radius of its base is:
  1. $\dfrac11$
  2. $\dfrac12$
  3. $\dfrac23$
  4. $\dfrac21$
  5. $\sqrt{\dfrac54}$