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10 April, 04:32

The volume of a sphere is 972 ft.

What is the radius of the sphere?

.

Enter your answer in the box.

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Answers (2)
  1. 10 April, 04:44
    0
    r = 6.146 ft

    Step-by-step explanation:

    The volume of a sphere is given by

    V = 4/3 pi r^3

    We know the volume and we approximate pi by 3.14

    972 = 3.14 r^3

    Divide each side by 3.14

    972/3.14 = 3.14 r^3 / 3.14

    309.5541401 = 4/3 r^3

    Multiply each side by 3/4

    3/4*309.5541401 = 3/4*4/3 r^3

    232.1656051 = r^3

    Take the cube root of each side

    (232.1656051) ^ 1/3 = r^3^ 1/3

    6.146095348 = r

    r = 6.146 ft
  2. 10 April, 08:01
    0
    r = 6.146

    Step-by-step explanation:

    formula for the volume is 4/3πr³

    v = 4/3πr³ we adjust the equation for the r

    r = ∛3v/4π

    r = ∛3*972/4*3.14

    r = 6.146
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