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A cylindrical vessel of radius 4 cm. contains water. A solid sphere of radius 3 cm. is dipped into the water until it is completely immersed. The water level in the vessel will rise by
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- 3.5 cm.
- 2.25 cm.
- 2 cm.
- 3.8 cm.
- 3.5 cm.
Correct Option: B
If the rise in water level be h cm., then
| πr²h = | πR³ | |
| 3 |
where r = radius of cylindrical vessel,
R = radius of solid sphere
| ⇒ 4² × h = | × (3)³ | |
| 3 |
| ⇒ h = | = | ||
| 4 × 4 | 4 |
= 2.25 cm.
