150 spherical marbles, each of diameters 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in level of water in the vessel.

Solution:

Volume of 150 spherical marbles, each of diameters 1.4 cm = volume of cylindrical vessel of diameter 7 cm

150 x 4/3 x pie x 1.4/2 x 1.4/2 x1.4/2  = pie  x 7/2  x 7/2 x h

h = 5.6 cm