SOLUTION: Three solid sphere of iron whose diameter are 2 cm, 12cm and 16 cm respectively are melted into single solid sphere find the radius of the single sphere

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Question 1016118: Three solid sphere of iron whose diameter are 2 cm, 12cm and 16 cm respectively are melted into single solid sphere find the radius of the single sphere
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a sphere is,
V=%284%2F3%29pi%2AR%5E3=%284%2F3%29pi%28D%2F2%29%5E3=%28pi%2F6%29D%5E3
So the total volume of the new sphere is,
V%5Bn%5D=%28pi%2F6%29%282%5E3%2B12%5E3%2B16%5E3%29=%284%2F3%29pi%2AR%5E3
R%5E3=%282%5E3%2B12%5E3%2B16%5E3%29%2F8
Take the cube root,
R=%28%282%5E3%2B12%5E3%2B16%5E3%29%2F8%29%5E%281%2F3%29