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?

Solution (By Examveda Team)

$$\eqalign{ & {R^3} = n \times {r^3} \cr & 11 \times 11 \times 11 = n \times {2^3} \cr & \frac{{1331}}{8} = n \cr & n = 166 \cr & n = 166{\text{ }}\left( {{\text{integer}}} \right) \cr} $$