Question

Find the amount of water displaced by a solid spherical ball of diameter 4.2m, when it is completely immersed in water.58.31 cm329.74 cm338.81 cm374.51 cm3

Solution

The correct option is C 38.81 cm3Given, 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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