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1 January, 15:02

A sphere with a diameter of 30 inches is placed in a cube. The sphere touches the lateral faces

and the bases of the cube. Find:

a. The dimensions of the cube.

b. The volume of the cube.

c. The volume of the sphere.

d. The volume inside the cube that is not taken up by the sphere.

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Answers (1)
  1. 1 January, 17:54
    0
    a) 30 inches * 30 inches * 30 inches

    b) 27,000 inches³

    c) 14,130 inches³

    d) 12,870 inches³

    Step-by-step explanation:

    Edge of the cube = diameter = 30 inches

    Volume of cube = s³

    30³ = 27000 inches³

    Radius = 30/2 = 15

    Volume of sphere:

    (4/3) * 3.15 * 15³

    14130 inches³

    Difference:

    27000 - 14130

    12870 inches³
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