SOLUTION: The larger sphere is of radius 8cm and is a metal. It is melted down and made into spheres of radius 2 cm. Smaller spheres are of radius 2 cm. How many of the smaller spheres can b

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Question 922426: The larger sphere is of radius 8cm and is a metal. It is melted down and made into spheres of radius 2 cm. Smaller spheres are of radius 2 cm. How many of the smaller spheres can be made from the larger sphere?
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

.

V(L)/V(s) = %284%2F3%29pi%288cm%29%5E3+%2F%28%284%2F3%29pi%282cm%29%5E3%29 = 16 smaller spheres can be made from the larger sphere

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The larger sphere is of radius 8cm and is a metal. It is melted down and made into spheres of radius 2 cm. Smaller spheres are of radius 2 cm. How many of the smaller spheres can be made from the larger sphere?
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You can calculate the 2 volumes and divide to get 64 2" spheres.
Vol+=+4%2Api%2Ar%5E3%2F3
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Or, use the fact that volume is a function of the cube of the radius.
Vol = k*r^3 (k is a constant)
8 = 4*2 --> 4^3 = 64 2" spheres.