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8 October, 00:32

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

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  1. 8 October, 00:56
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    V = 3646.5 miles^3

    Step-by-step explanation:

    The circumference formula applies here. C = 2pi*r, and so r = C / [2pi].

    Thus, r = 60 miles / 6.28 = 9.55 miles.

    The volume formula is next. V = (4/3) pi*r^3.

    With r = 9.55 miles, this comes to V = (4/3) (3.14) (9.55) ^3 miles^3, or

    V = 3646.5 miles^3
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