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30 November, 05:26

A sphere has a volume of 288 Pi in^3. Find the surface area of the sphere

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  1. 30 November, 05:54
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    Step-by-step explanation:

    The formula for determining the volume of a sphere is expressed as

    Volume = (4/3) * πr³

    The volume of the given sphere is expressed as 288π inches³. It means that

    (4/3) * πr³ = 288π

    4r³/3 = 288

    4r³ = 3 * 288 = 864

    r³ = 864/4 = 216

    Taking cube root of both sides, it becomes

    r = 6

    The formula for determining the surface area of a sphere is expressed as

    Area = 4πr²

    π = 3.14

    Therefore,

    Surface area = 4 * 3.14 * 6² = 452.16 inches²
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