-
A conical iron piece having diameter 28 cm and height 30cm is totally immersed into the water of a cylindrical vessel, resulting in the rise of water level by 6.4 cm. The diameter, in cm, of the vessel is :
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- 3.5
- 35/2
- 32
- 35
- 3.5
Correct Option: D
Radius of cylindrical vessel = r cm. (let).
| Volume of conical piece of iron = | πR²h | |
| 3 |
| = |  | π × 1 × 14 × 30 |  | cubic metre | ||
| 3 |
Volume of raised water = πr² × 6.4 cu. cm.
∴ πr² × 6.4
| = | π × 14 × 14 × 30 | |
| 3 |
| ⇒ r² = | ||
| 6.4 |
| ⇒ r² = | ||
| 8² |
| ⇒ r = | ||
| 8 |
| ⇒ 2r = | ||
| 8 |
= 35 cm = diameter
