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

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) (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.

You can simplify very easily first:

Find or evaluate r.
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