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  1. The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by
    1. 20%
    2. 20.5%
    3. 62%
    4. 72.8%
Correct Option: D

Volume of cone =
1
πr²h
3

∴ Resultant increase in radius² = 20 + 20 +
20 × 20
% = 44%
100

Resultant increase in r² and h = 44 + 20 +
44 × 20
% = (64 + 8.8)%
100

= 72.8%



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