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13 January, 13:35

A sphere has a volume of 36π m3. Find the surface area of the sphere.

The options are:

28π m2

36π m2

42π m2

48π m2

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Answers (1)
  1. 13 January, 16:25
    0
    The volume of a sphere is (4*pi*^3) / 3

    (4pir^3) / 4 = 36pi

    4pir^3 = 108pi

    pir^3 = 27pi

    r^3 = 27

    r = 3

    The surface area of a sphere is 4pir^2

    Substitute r = 3 into 4pir^2

    4pi * 9 = 36pi
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