Find the amount of water displaced by a solid | vedclass

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Question

(D) The amount of water displaced by a solid spherical ball is equal to the volume of the solid spherical ball.The diameter of the ball is $d = 4.2 \,

Vedclass · Accepted Answer

$38.808$

Vedclass · Answer

(D) The amount of water displaced by a solid spherical ball is equal to the volume of the solid spherical ball.The diameter of the ball is $d = 4.2 \, cm$,so the radius is $r = \frac{d}{2} = \frac{4.2}{2} = 2.1 \, cm$.The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^3$.Substituting the values: $V = \frac{4}{3} 	imes \frac{22}{7} 	imes (2.1)^3$.$V = \frac{4}{3} 	imes \frac{22}{7} 	imes 2.1 	imes 2.1 	imes 2.1$.$V = 4 	imes \frac{22}{7} 	imes 0.7 	imes 2.1 	imes 2.1$.$V = 4 	imes 22 	imes 0.1 	imes 2.1 	imes 2.1 = 88 	imes 0.1 	imes 4.41 = 8.8 	imes 4.41 = 38.808 \, cm^3$.Thus,the amount of water displaced is $38.808 \, cm^3$.

Find the amount of water displaced by a solid spherical ball of diameter $4.2 \, cm$,when it is completely immersed in water. (in $, cm^3$)

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