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P.J. has a cylindrical mug with a 3-inch diameter. His mug is filled to a height of 6 inches with grape juice. Schuyler has a cylindrical mug with a 4-inch diameter. To what height in inches must Schuyler's mug be filled so that he receives the same amount of juice as P.J.? Express your answer as a mixed number.

 Jan 15, 2022
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Volume of a cylinder    pi r^2 h

 

pi 3^2 * 6    =  pi  4^2 * h

3^2 * 6 = 4^2 * h

54 = 16 h

h = 54/16 = ....... inches

 Jan 15, 2022

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