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

Correct Answer: 9/4 cm

Explanation:

Volume of the sphere = Volume of the water displaced
Let the required height to which the water rises be h.
Then, πr12h = 4/3 πr23
⇒ 16 h = 4/3 x 27 ⇒ h = 36/16 = 9/4 cm


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