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?
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You can calculate the 2 volumes and divide to get 64 2" spheres.
{{{Vol = 4*pi*r^3/3}}}
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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.