The volume of a sphere is 500pi/3 inches cubed. What is the diameter of the sphere?

Question

The volume of a sphere is 500pi/3 inches cubed. What is the diameter of the sphere?

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Tryphena 5 months 2021-08-24T22:10:22+00:00 1 Answers 0 views 0

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    2021-08-24T22:11:22+00:00
    • Answer:

    10 inches

    • Step-by-step explanation:

    Hi there !

    volume of a sphere formula

    V = 4π·r³/3

    3V = 4π·r³

    r³ = 3V/4π

    replace

    r³ = (3·500π/3)/4π

    = 500π/4π

    = 125

    r³ = 125

    r³ = 5³

    r = 5 inches

    d = 2r = 2×5in = 10 inches

    Good luck !

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