document.write( "Question 188042: If the volume of a sphere is 500pi/3 m^3, what is the diameter of the sphere
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Algebra.Com's Answer #140953 by Earlsdon(6294)\"\" \"About 
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Start with the formula for the volume of a sphere of radius, r.
\n" ); document.write( "\"V+=+%284%2F3%29pi%2Ar%5E3\" Set this equal to the given volume of \"500%2Api%2F3\"Cu.m.
\n" ); document.write( "\"%284%2F3%29pi%2Ar%5E3+=+500%2Api%2F3\" Multiply both sides by 3.
\n" ); document.write( "\"4%2Api%2Ar%5E3+=+500%2Api\" Divide both sides by \"pi\"
\n" ); document.write( "\"4%2Ar%5E3+=+500\" Divide both sides by 4.
\n" ); document.write( "\"r%5E3+=+125\" Take the cube root of both sides.
\n" ); document.write( "\"r+=+5\"
\n" ); document.write( "The diameter is twice the radius, so...
\n" ); document.write( "\"D+=+2%285%29\"
\n" ); document.write( "\"highlight%28D+=+10%29\"meters.
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