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12 September, 01:42

A box contains 9 Identical glass spheres that are used to make snow globes. The spheres are tightly packed. They are held in a 12ft by 12ft box.

What is the total volume, in cubic inches, of all 9 spheres? Round your answer to the nearest tenth of a cubic inch.

Volume of a sphere = 4/3 Πr^2

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  1. 12 September, 01:54
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    Because the balls or spheres are tightly packed in a cube, their radius is approximately equal to 2 ft. The volume of a sphere is calculated through the equation,

    V = 4/3πr³

    Substituting the known radius,

    V = 4/3π (2 ft) ³

    V = 33.51 ft³

    The 9 spheres will have a total volume of 301/59 ft³ which is also equal to 521152.52 in³.
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