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Area and volume: advanced

Problem

A cone and sphere have equal volumes and radii of equal length. If the height of the cone is 36 centimeters, then what is the length of the radius of each shape in centimeters?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
How do I enter a student-produced response on the SAT?