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Question

Find the amount of water displaced by a solid spherical ball of diameter 4.2m, when it is completely immersed in water.
  1. 58.31 cm3
  2. 29.74 cm3
  3. 38.81 cm3
  4. 74.51 cm3


Solution

The correct option is C 38.81 cm3
Given, diameter of the solid spherical ball = 4.2 cm
Radius of the solid spherical ball, r=4.22=2.1 cm
Now, volume of water displaced by a solid spherical ball when it is completely immersed in water = Volume of the solid spherical ball
=43πr3=43×227×(2.1)3
=43×227×2.1×2.1×2.1
=814.96821=38.808=38.81 cm3
Hence, the volume of water displaced by a solid spherical ball when it is completely immersed in water is 38.81 cm3.
 

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