As shown in the figure, a cylindrical glass contains water. A metal sphere of diameter 2 cm is immersed in it. Find the volume of the water.

Given diameter of cylindrical glass , d = 14cm
Radius , R = 14/2 = 7cm
Height of glass in cylindrical glass, H = 30cm
Given diameter of metal sphere = 2cm
radius of metal sphere , r = 2/2 = 1cm
Volume of sphere = (4/3)r³
= (4/3)××1³
= (4/3)
= (4/3)×(22/7)
= 4.19cm³
Volume of water with sphere in it = R²H
= ×7²×30
= 1470
= 4620cm³
Volume of water in glass = Volume of water with sphere in it – Volume of sphere
= 4620-4.19 = 4615.81cm³
Hence the volume of water in glass is 4615.81cm³.