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A sphere is cut into two hemispheres. One of them is used as bowl. It takes 8 bowlfuls of this to fill a conical vessel of height 12 cm and radius 6 cm. The radius of the sphere (in centimetre) will be
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- 3
- 2
- 4
- 6
- 3
Correct Option: A
| Volume of conical vessel = | πr²h | |
| 3 |
| Volume of conical vessel = | × π × 6 × 6 × 12 = 144π cu. cm | |
| 3 |
If the radius of sphere be R cm, then
| = 8 × | π R³ = 144π | |
| 3 |
| ⇒ R³ = | = 9 × 3 = 3 × 3 × 3 | |
| 8 × 2 |
∴ R = ³√3 × 3 × 3 = 3 cm.
