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Find the amount of water displaced by a solid spherical ball of diameter 4.2 cm, when it is completely immersed in water. - Mathematics

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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.

Sum
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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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Chapter 13: Surface Area & Volumes - Exercise 13.3 [Page 126]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 13 Surface Area & Volumes
Exercise 13.3 | Q 3. | Page 126
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