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A sphere of diameter 6 cm is dropped in a right circular cylindrical vessel partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is just completely submerged in water, then the rise of water level in the cylindrical vessel is
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- 2 cm
- 1 cm
- 3 cm
- 4 cm
- 2 cm
Correct Option: B
| Volume of sphere = | πr³ | |
| 3 |
| = | π × 3 × 3 × 3 | |
| 3 |
= 36π cu.cm.
If the water level rises by h cm, then
πR²h = = 36π
⇒ 6 × 6 × h = 36
⇒ h = 1 cm
