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A cylindrical vessel $60 \; \text{cm}$ in diameter is partially filled with water. A sphere $30 \; \text{cm}$ in a diameter is dropped into it. The increase in the level of water in the vessel is $:$

1. $2 \; \text{cm}$
2. $3 \; \text{cm}$
3. $4 \; \text{cm}$
4. $5 \; \text{cm}$

## 1 Answer

option D

vol of sphere = rise in vol of cylinder

vol of sphere = 4 /3 r^3 (put r=15 )

vol of cylinder =r^2 h (h we want to find)

after putting values h = 5 cm

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