SOLUTION: 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?

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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?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume remains constant.
The volume of a sphere is
V%5Bs%5D=%284%2F3%29pi%2AR%5E3
The volume of a cube is
V%5Bc%5D=s%5E3=10%5E3=1000
Set them equal to each other and solve for R.
%284%2F3%29pi%2AR%5E3=1000
R%5E3=750%2Fpi
R=%28750%2Fpi%29%5E%281%2F3%29