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A hemispherical cup of radius 4 cm is filled to the brim with coffee. The coffee is then poured into a vertical cone of radius 8 cm and height 16 cm. The percentage of the volume of the cone that remains empty is :
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- 87.5%
- 80.5%
- 81.6%
- 88.2%
- 87.5%
Correct Option: A
| Volume of the hemispherical cup = | πr³ | |
| 3 |
| Volume of the hemispherical cup = | π × 4 × 4 × 4 | |
| 3 |
| = | cu.cm. | |
| 3 |
| Volume of cone = | πr²h | |
| 3 |
| = | π × 8 × 8 × 16 | |
| 3 |
| = | cu.cm. | |
| 3 |
Part filled = 1/8
∴ Part remaining empty = 7/8
= 87.5%
