-
If the radius of a shphere be doubled, then the percentage increase in volume is
-
- 500%
- 700%
- 600%
- 800%
- 500%
Correct Option: B
| Volume of sphere = | πr³ cu.units | |
| 3 |
Case II,
R = 2r units
| ∴Volume of sphere = | π(2r)³ | |
| 3 |
| ∴Volume of sphere = | πr³ cu.units | |
| 3 |
| Difference = | πr³ - | πr³ = | πr³ | |||
| 3 | 3 | 3 |
| ∴ Percentage increase = | πr³ | × 100 | |
| 3 | |||
| πr³ | |||
| 3 | |||
= 700%
OR
Single equivalent per cent increase for increases of 100% and 100%
| = |  | 100 + 100 + |  | % | |
| 100 |
= 300%
Single equivalent per cent increase for increases of 300% and 100%
| = | | 300 + 100 + | | % | |
| 100 |
= 700%
