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A cone of height 15 cm and basediameter 30 cm is carved out of a wooden sphere of radius 15 cm. The percentage of wasted wood is :
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- 75%
- 50%
- 40%
- 25%
- 75%
Correct Option: A
| Volume of the cone = | πr²h = | π(15)² × 15 | ||
| 3 | 3 |
| = | π × (15)³ cm³. | |
| 3 |
| Volume of the wooden sphere = | πr³ = | π(15)³ cm³ | ||
| 3 | 3 |
| Wasted wood = | π × (15)³ - | π(15)³ = π (15)³ cm³ | ||
| 3 | 3 |
| ∴ Required percentage = | × 100 = 75% | ||
| π(15)³ | |||
| 3 | |||
