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17 October, 19:02

Find the radius of a sphere with a volume of 121.5π

cubic feet.

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Answers (1)
  1. 17 October, 19:41
    0
    Answer: 4.5ft

    Step-by-step explanation:

    The volume of a sphere = 4/3πr³

    This is question on solid shapes.

    Since the volume of the sphere = 121.5πft³ meaning that π was not defined.

    Now to get the radius of the sphere, we equate the formula above to the value and now solve for r making it the subject of the formula.

    (4/3) πr³ = 121.5π

    Now we shall try and make the equation a linear expression by multiplying through by 3 which is the denominator. It now becomes

    4πr³ = 121.5π x 3

    4πr³ = 364.5π

    Now we divide through by π because it is common,

    4r³ = 364.5, again divide by 4,

    r³ = 91.125, now to find the true r, we take the cube root of both side, (recall, laws of indicies)

    r = 3√91.125

    = 4.5ft.

    Therefore the radius of the sphere is 4.5ft.
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