SOLUTION: a solid metal sphere 12 cm in diameter is melted and recast into smaller solid metal spheres 4 cm in diameter. How many of these smaller solid metal spheres will there be?

Question 475958: a solid metal sphere 12 cm in diameter is melted and recast into smaller solid metal spheres 4 cm in diameter. How many of these smaller solid metal spheres will there be?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
a solid metal sphere 12 cm in diameter is melted and recast into smaller solid metal spheres 4 cm in diameter. How many of these smaller solid metal spheres will there be?
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Volume of sphere=4/3πr^3
Larger sphere:
r=12/2=6
volume=4/3π6^3=288π
..
Smaller sphere
r=4/2=2
volume=4/3π2^3=(32/3)π
..
288π/(32/3)π=27
number of smaller spheres made from the larger sphere=27
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