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31 December, 23:48

A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball in the container has a radius of 2.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.

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  1. 1 January, 01:30
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    The amount of space not occupied by the rubber balls is given by:

    Volume = (volume of the container) - (volume of the rubber balls)

    volume of the container is given by:

    V=πr²h

    V=π * (5/2) ² (20)

    V=392.70 cm³

    Volume of each ball is:

    V=4/3πr³

    V=4/3π (2.5) ³=65.45 cm³

    volume of four balls

    65.45*4=261.8 cm³

    The volume of the container that is not occupied by the balls will be:

    V=392.70-261.8

    V=130.9 cm³
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