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Question

A cylindrical vessel of radius 4 cm contains water . A solid sphere of radius 3 cm is lowered into the water until it is completely  immersed . he water level  in the vessel  will rise by  :


Options:
A .  `2/9`cm
B .  `4/9`cm
C .  `9/4`cm
D .  `9/2`cm
Answer: Option C

Let the rise in the water level be h cm.

Then , `pi xx 4 xx 4 xx h = 4/3 pi xx 3 xx 3 xx 3`

`rArr     4xx h = 3 xx 3`

`rArr    h = ((3 xx 3)/(4)) = 9/4 cm`



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