150 spherical marbles, each of diameter 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 the level of water in the vessel.
Diameter of spherical marbles cm
=0.7 cm
Diameter of cylinder vessel
=3.5 cm
Volume of 150 spherical balls =150× 3
cm3
=215.6 cm3
Let the rise in level of water be h cm
Volume of rise in level of water (Volume of cylinder )
Volume of Rise in level of water in the vessel =volume of 150 spherical balls
⇒ (22/7) × 3.5 × 3.5 × h = 215.6
⇒ h = 5.6 cm