Question:A cylindrical vessel `60` cm in diameter is partially water. A sphere `30` cm is diameter into it. The increase in the level of water in the vessel is : 

A `2 cm` 
B `3 cm` 
C `4 cm` 
D `5 cm` 

+ Answer
D 

+ Explanation
Let h and H be the heights of water level before and after dropping the sphere. Then,

`[π xx (30)^2 xx H] - [π xx (30)^2 xx h]`

`= 4/3 π xx (15^3`

`900 π (H -h)`

`= 4500 π or (H - h)`

`= 5 cm.`

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Irin Moni

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