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A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 60 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder ?
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- 15 cm
- 30 cm
- 40 cm
- 25 cm
Correct Option: C
Let h and H be the height of water level before and after the dropping of the sphere.
Then, [π x (30)2 x H ] - [π x (30)2 x h ]
= 4/3 π x (30)3
⇒ π x 900 x (H -h) = 4/3 π x 27000
∴ (H- h) = 40 cm
