SOLUTION: Find the volume of a sphere with a diameter of 20 km.

Question 117074: Find the volume of a sphere with a diameter of 20 km.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Wow! That's a pretty big sphere. A diameter of 20 km is equivalent to a diameter of almost 12.5 miles!
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Anyhow, the formula for the volume (V) of a sphere is:
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where V is the volume and r is the radius of the sphere.
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If the diameter of a sphere is 20 km, then the radius of that sphere is half that or the radius
of the given sphere is 10 km.
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Substituting 10 km for r in the volume equation results in:
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and
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This says that we can substitute 1000 for in the formula to get:
.

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Multiplying the 1000 times the results in and dividing the
4000 by 3 results in . Substituting 1333.33333333 for
reduces the equation to:
.

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and using a scientific calculator we can multiply out 1333.33333333 times to get:
.

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And since the radius was in kilometers this answer is in cubic kilometers. So the answer to
this problem is:
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Volume = 4188.790205 cubic kilometers
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Hope this helps you to understand the problem a little better.
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