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10 March, 07:07

The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?

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  1. 10 March, 09:29
    0
    34.98yd^3

    Step-by-step explanation:

    Volume of a sphere V=4/3πr3

    Where V = 2240yd^3

    π = 3.14

    2240 = 4/3*3.14*r^3

    2240 = 4.1866r^3

    r^3 = 2240/4.1866

    r^3 = 534.784

    r = (534.784) ^1/3

    r = 8.1169

    Since each dimension is to be multiplied by 1/4

    Hence, 1/4*8.1169

    r = 2.029.

    New volume will be

    V = 4/3*3.14*2.029^3

    V = 4/3*3.14*8.3558

    V = 34.98yd^3.
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