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Question
Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water.
Solution
Given: Diameter of spherical ball = 4.2 cm
Now, radius of spherical ball (r) = `4.2/2` cm = 2.1 cm
Amount of water displaced by solid spherical ball = Volume of solid spherical ball
So, volume of spherical ball = `4/3 pir^3`
= `4/3 xx 22/7 xx (2.1)^3`
= `88/21 xx 21/10 xx 21/10 xx 21/10`
= 38.808 cm3
Therefore, the amount of water displaced by solid spherical ball when it completed immersed in water is 38.808 cm3.
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