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A solid lead sphere of radius 11 cm is melted and recast into small solid spheres of radius 2 cm each. How many maximum number (in integer) of such spheres can be made?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& {R^3} = n \times {r^3} \cr
& 11 \times 11 \times 11 = n \times {2^3} \cr
& \frac{{1331}}{8} = n \cr
& n = 166 \cr
& n = 166{\text{ }}\left( {{\text{integer}}} \right) \cr} $$
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