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1 November, 15:20

A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form

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Answers (2)
  1. 1 November, 17:52
    0
    Your correct answer is 500/3 cm^3

    I will show you how and tell you why it is 500/3 cm^3 down below:

    Explanation:

    The side length of the cube is 10 cm therefore, the diameter of the sphere is 10 cm so, the radius is 5 cm:

    r = d/2 = 10/2 = 5 cm

    and right here I will show you the volume of the sphere:

    v = 4/3 r^3

    = 4/3 (5) ^3

    = 500/3 cm^3

    Showing these results, you can see that the answer is 500 / 3 cm^3
  2. 1 November, 19:19
    0
    500 / 3 pi cm^3

    Step-by-step explanation:

    The side length of the cube is 10 cm, so the diameter of the sphere is 10 cm

    That means the radius is

    r = d/2 = 10/2 = 5 cm

    The volume of a sphere is

    V = 4/3 pi r^3

    = 4/3 pi (5) ^3

    = 500 / 3 pi cm^3
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