Question

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.

Answer 1

Solution:
Given:-
Diameter of cylindrical vessel = 7 cm
Diameter of spherical marbles = 1.4 cm
Volume of a sphere = Volume of 150 spherical marbles, each of diameters 1.4 cm = volume of cylindrical vessel of diameter 7 cm displaced

Volume of a Sphere `=4/3 pir^3`

`150 xx4/3 pi(1.4/2)^3=pi(7/2)^2xxh`

`h=5.6 cm`