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Each of the radius of the base and the height of a right circular cylinder is increased by 10%. The volume of the cylinder is increased by
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- 3.31%
- 14.5%
- 33.1%
- 19.5%
- 3.31%
Correct Option: C
Intial area of the cylinder = πr²h
Voiume of the new cylinder = p (1.1r)² × 1.1h
= 1.331 πr²h
∴ Increase in area = (1.331 – 1) πr²h
= 0.331 πr²h
∴ Percentage increase = | × 100 = 33.1 % | |
πr²h |