SOLUTION: A metal sphere 6cm in diameter is melted and cast into balls of diameter 1/2cm. How many of the smaller balls will be there?

Question 917948: A metal sphere 6cm in diameter is melted and cast into balls of diameter 1/2cm. How many of the smaller balls will be there?

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The metal sphere's diameter is 12x that of a smaller ball.

Volume of a sphere is directly proportional to the cube of its radius/diameter, so you can make 12^3 = 1788 smaller balls.

Note that you can use the formula for the volume of a sphere and obtain the same answer, but with some intuition you don't need to use it.
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