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29 January, 10:40

What is the volume of a sphere with a surface area of 100 pi ft squared

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  1. 29 January, 14:38
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    The volume = 523.3 ft.³

    Step-by-step explanation:

    ∵ Surface area of the sphere = 4πr²

    ∴ 4πr² = 100π

    ∴ 4r² = 100 ⇒ r² = 100/4 = 25

    ∴ r = √25 = 5 ft.

    ∵ Its volume = 4/3 πr³

    ∴ Its volume = (4/3) * π * 5³ = 523.3 ft.³
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