Question 102

A sphere of radius 9 cm is melted and recast into small spheres of radius 2 cm each. How many such sphere can be made?


Let number of smaller spheres be n 
Now Volume of larger sphere = Volume of n spheres 
so we get $$\frac{4}{3}\pi\ \times\ 9^3=n\times\ \frac{4}{3}\pi\ \times\ 2^3$$
we get n =729/8 =91

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