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7 November, 16:04

Sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. find the unoccupied volume remaining inside the cube.

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  1. 7 November, 18:35
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    The volume of the sphere is given by:

    V1 = (4/3) * (pi) * (r ^ 3)

    Where,

    r: sphere radio

    Substituting values:

    V1 = (4/3) * (3.14) * ((1/2) ^ 3)

    V1 = 0.523 units ^ 3

    The volume of the cube is given by:

    V2 = L ^ 3

    Where,

    L: length of the sides

    Substituting values:

    V2 = 1 ^ 3

    V2 = 1 units ^ 3

    The unoccupied space is:

    V2-V1 = 1-0.523

    V2-V1 = 0.477 units ^ 3

    Answer:

    The unoccupied volume remaining inside the cube is:

    0.477 units ^ 3
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