A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel
Height (h) of conical vessel = 8 cm
Radius (r1) of conical vessel = 5 cm
Radius (r2) of lead shots = 0.5 cm
Let n number of lead shots were dropped in the vessel
Volume of water spilled = Volume of dropped lead shots
* Volume of cone = n * 
r23
* 
r12h = n * 
r23
r12h = n * 16r23
52 * 8 = n * 16 * (0.5)3
n = 
= 100
Hence, the number of lead shots dropped in the vessel is 100
8