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