A cylindrical vessel of radius 4 cm contains water. A solid

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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 ?

1. 4/9 cm
2. 9/4 cm
3. 2/3 cm
4. 4/5 cm

Correct Option: B

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