SOLUTION: If the volume of a sphere is 500pi/3 m^3, what is the diameter of the sphere

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Question 188042: If the volume of a sphere is 500pi/3 m^3, what is the diameter of the sphere
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the formula for the volume of a sphere of radius, r.
V+=+%284%2F3%29pi%2Ar%5E3 Set this equal to the given volume of 500%2Api%2F3Cu.m.
%284%2F3%29pi%2Ar%5E3+=+500%2Api%2F3 Multiply both sides by 3.
4%2Api%2Ar%5E3+=+500%2Api Divide both sides by pi
4%2Ar%5E3+=+500 Divide both sides by 4.
r%5E3+=+125 Take the cube root of both sides.
r+=+5
The diameter is twice the radius, so...
D+=+2%285%29
highlight%28D+=+10%29meters.