The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

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The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3)

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    2021-11-23T19:47:01+00:00

    radius = 3 feet

    rearrange the formula making r the subject

    \frac{4}{3} πr³ = V ( multiply both sides by 3 to eliminate fraction )

    4πr³ = 3V ( divide both sides by 4π )

    r³ = \frac{3V}{4\pi } = ( 3 × 36π ) / 4π = 3 × 9 = 27

    take the cube root of both sides

    r = \sqrt[3]{27} = 3

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