Question : An inverted conical–shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and the radius of the open end is 5 cm. When a few solid spherical metallic balls each of radius $\frac{1}{2}$ cm are dropped in the vessel, 25% water is overflowed.

Question : A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls is (Take $\pi =\frac{22}{7}$)

Question : How many solid spherical balls each of 33 cm radius can be made out of a solid spherical ball of radius 66 cm?

Question : The radius of a metallic spherical ball is 3 cm. If the metallic ball is melted and recast into $x$ number of hemispheres of radius equal to half the radius of the metallic spherical ball, then find the value of $x$.