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Volume of cylinders, spheres, and cones word problems


Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27, pi cmcubed of melted purple liquid. The radius of the cone is 3 cm.
What is the height of the cone?
Either enter an exact answer in terms of pi or use 3, point, 14 for pi.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text