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19 June, 15:36

A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere? Round your answer to the nearest whole number.

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  1. 19 June, 16:42
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    Answer: 113.04 cm^3

    Step-by-step explanation:

    The surface area of a cube is:

    S = 6*L^2

    then:

    216 = 6*L^2

    216/6 = L^2

    L = √ (36) = 6

    So the length of the side of this square is L = 6cm

    Then the diameter of the sphere is also 6 cm, and the radius is half the diameter, so the radius is 3cm.

    Now the volume of a sphere is:

    V = (4/3) * pi*r^3 = (4/3) * 3.14*3^3 = 113.04 cm^3
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