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6 May, 11:34

A spherical ball with a volume of 4500π in. 3 is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of the ball. What is the volume of the box?

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  1. 6 May, 11:48
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    27,000

    Step-by-step explanation:

    The volume of a ball is found using the formula V = 4/3πr³. Substitute V = 4500π and solve for r.

    4500π = 4/3πr³

    4500 = 4/3r³

    3375 = r³

    15 = r

    This means the diameter of the ball is 30.

    Since the box had the same side length as the diameter, this means the volume of the box is V = 30*30*30 = 27,000.
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