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2 October, 11:41

It takes 6 cubic inches of colored sand to fill a plastic cone. How many cubic inches will it take to fill a plastic cylinder with the same base and height as the cone?

A. 18

B. 24

C. 2

D. 12

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Answers (1)
  1. 2 October, 11:48
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    The volume of a cone is equal to

    Volume = pi * r^2 * h / 3

    The volume of a cylinder is equal to

    Volume = pi * r^2 * h

    The cone is filled with 6 cubic inches colored sand.

    As you observed, the volume of the cone is 1 / 3 of the volume of the cylinder.

    Cone = Cylinder / 3

    6 = Cylinder / 3

    Cylinder = 18

    So the answer is A. 18.
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