SOLUTION: A metal cylinder of base radius 4 cm and height 10 cm is melted and recast into spheres of radius 2 cm. How many such spheres do we get?

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Question 914147: A metal cylinder of base radius 4 cm and height 10 cm is melted and recast into spheres of radius 2 cm. How many such spheres do we get?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
volume of the metal is the same in both arrangements.

Let x be how many spheres.
10%2Api%2A4%5E2=x%284%2F3%29pi%2A2%5E3
Solve for x.