SOLUTION: three solid spherical balls of diameter 10,8and6 cm respectively are melted into one solid ball.its diameter is

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Question 763882: three solid spherical balls of diameter 10,8and6 cm respectively are melted into one solid ball.its diameter is
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Radii of the three balls before melting are 5, 4, and 3. Their summed volume is

All of that material made into a new single bigger ball will be that same volume. You just need to use ONE variable for radius, or diameter.
Call this radius, r.

Equate the volumes.
%284%2F3%29%2Api%2A%285%5E3%2B4%5E3%2B3%5E3%29=%284%2F3%29%2Api%2Ar%5E3

You can simplify very easily first:

highlight%28r%5E3=5%5E3%2B4%5E3%2B3%5E3%29
Find or evaluate r.