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A conical vessel whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylindrical vessel is :
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- 25cm
- 20cm
- 24cm
- 22cm
- 25cm
Correct Option: C
In both the vessels, the volume of liquid will be same.
∴ Volume of liquid in cylinder = Volume of liquid in cone.
Let the height of liquid column in cylinder be h cm, then
| πr²h = | π × (12)² × 50 | |
| 3 |
| ∴ h = | × | ||
| 3 | 10 × 10 |
= 24cm
