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The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by
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- 20%
- 20.5%
- 62%
- 72.8%
- 20%
Correct Option: D
Volume of cone = | πr²h | |
3 |
∴ Resultant increase in radius² = | ![]() | 20 + 20 + | ![]() | % = 44% | |
100 |
Resultant increase in r² and h = | ![]() | 44 + 20 + | ![]() | % = (64 + 8.8)% | |
100 |
= 72.8%