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9 July, 17:12

The volume of a sphere is approximately 1767.1459 cubic inches. What is the length of the radius of the sphere the nearest tenth?

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  1. 9 July, 19:41
    0
    7.5 in

    Step-by-step explanation:

    Step one

    This problem bothers on the mensuration of solid shapes, a sphere.

    We know that the volume of a sphere is expresses as

    V = (4/3) πr³

    Given that the volume of the sphere is

    1767.1459 in³

    To solve for the radius r we need to substitute the value of the volume in the expression for the volume we have

    Step two

    1767.1459 = (4/3) πr³

    1767.1459*3 = 4πr³

    5301.4377/4*3.142=r³

    421.82031=r³

    Step three

    To get r we need to cube both sides we have

    r = ³√421.82031

    r = 7.49967589711

    To the nearest tenth

    r = 7.5 in
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