The volume of a sphere is 1/48 PI cubic meters. What is the length of the sphere’s radius? In your final answer, include all of your calcula

Question

The volume of a sphere is 1/48 PI cubic meters. What is the length of the sphere’s radius? In your final answer, include all of your calculations. (ALL CALCULATIONS PLEASE )

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Genesis 3 weeks 2021-09-24T09:49:02+00:00 1 Answer 0

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    2021-09-24T09:50:15+00:00

    Answer:

    1/4 meters

    Step-by-step explanation:

    The volume of a sphere is π/48 cubic meters

    Volume of a Sphere=⁴/₃πr³

    Equating the two expressions above

    ⁴/₃πr³ = π/48

    Dividing both sides by π

    ⁴/₃r³ = 1/48

    Divide both sides by 4/3 to isolate r

    r³=(1/48) ÷ (4/3)

    r³=(1/48) X (3/4)

    r³ = 1/64

    Taking the cube root of both sides

    r = 1/4 meters

    The length of the radius is 1/4 meters

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