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11 May, 23:00

A gumball machine is in the shape of a sphere with a radius of 6 inches. A store manager wants to fill up the machine with miniature gumballs, which have a radius of 1/3in. How many gumballs will fit in the machine?

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  1. 11 May, 23:10
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    To know how many gumballs will fit in the machine, the volume of the minature and the machine should be calculated. Volume of sphere:

    V = (4/3) pi * r^3

    Volume of the machine r = 6 in

    V = (4/3) pi * 6^3 = 904.77 in3

    Volume of the miniature gumballs

    V = (4/3) pi * (1/3) ^3 = 0.1551 in3

    Divide the two volume to get the number of gumballs that can fill the machine

    904.77 in3 / 0.1551 in3 = 5832
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