Q12 of 52 Page 145

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.

Diameter of glass, D = 14 cm


⇒ Radius of glass, r = 7cm


Height of water level, H = 30 cm


We know that, volume of cylinder, V = πR2H


⇒ V = π × (7)2× 30


⇒ V = 1470π cubic cm


Diameter pof metal sphere, d = 2 cm


Radius of metal sphere, r = 1cm


As we know that,




⇒ v = 1.33π cubic cm


Volume of water = Volume of glass – Volume of metal sphere


⇒ Volume of water = 1470π – 1.33π


∴ volume of the water is 1468.67π cm3


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