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Question

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

  1. 21 cubic inches
  2. 63 cubic inches
  3. 66 cubic inches
  4. 198 cubic inches

hintHint:

Volume of a cone = (1 third)πr2h

The correct answer is: 66 cubic inches


    We have given the dimensions of a large plastic cup of Mike in shape of cone
    Radius, r = 3 in
    Height, h = 7 in
    We have to find the volume of the given cone
    We know that
    Volume of a cup = (1 third)πr2h

    = (1 third)(3.14)(3 x 3)(7)

    = (1 third)(3.14) (9 x 7)

    = (1 third)(3.14)(63)

    = 197.82 over 3

    = 65.94 in3

    = 66 in3
    Therefore, the volume of Mike’s cup is 66 in3
    Therefore correct option is c) 66 in3.

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