document.write( "Question 862519: Find the radius of the largest sphere that can be formed from the metal obtained by melting down a cube of side 10cm.Could somebody please help? \n" ); document.write( "

Algebra.Com's Answer #519739 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The volume remains constant.
\n" ); document.write( "The volume of a sphere is
\n" ); document.write( " $\"V%5Bs%5D=%284%2F3%29pi%2AR%5E3\"$
\n" ); document.write( "The volume of a cube is
\n" ); document.write( " $\"V%5Bc%5D=s%5E3=10%5E3=1000\"$
\n" ); document.write( "Set them equal to each other and solve for R.
\n" ); document.write( " $\"%284%2F3%29pi%2AR%5E3=1000\"$
\n" ); document.write( " $\"R%5E3=750%2Fpi\"$
\n" ); document.write( " $\"R=%28750%2Fpi%29%5E%281%2F3%29\"$
\n" ); document.write( " \n" ); document.write( "

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