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28 August, 11:03

A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 12 in. long. How many cubic inches of packing foam are needed to fill

the rest of the box? Round to the nearest tenth.

packing foam needed =

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  1. 28 August, 14:02
    0
    volume of packing foam to fill the rest of the box = 1279.31 inches³

    Step-by-step explanation:

    The basket ball is a sphere

    volume of the ball = 4/3πr³

    r = 9.5/2 = 4.75 inches

    volume of the ball = 4/3πr³

    volume of the ball = 4/3 * 3.14 * 4.75³

    volume of the ball = 4/3 * 3.14 * 107.171875

    volume of the ball = 1346.0787500/3

    volume of the ball = 448.69291667 inches³

    The volume of the box

    volume of box = L³

    where

    L = 12 inches

    volume of box = L³

    volume of box = 12³

    volume of box = 1728 inches³

    volume of box = L³

    The volume of empty space to fill the foam is the difference of the volumes.

    = 1728 inches³ - 448.69291667 inches³

    volume of packing foam to fill the rest of the box = 1279.31 inches³
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