If the height of a cylinder is increased by 15% and the radius of its base is decreased by 10% then the percentage change in its curved surface area is :
A. 2.5% increased
B. 3.5% increased
C. 2.5% decreased
D. 3.5% decreased
Answer: Option B
Solution(By Examveda Team)
Increase in height = 15% = $$\frac{3}{20}$$Decrease in base radius = 10% = $$\frac{1}{10}$$
Initial | Final | |
Radius | 10 | 9 |
height | 20 | 23 |
Area | 200 | 207 |
Increment in Area = 207 - 200 = 7
Required % increase in area
= $$\frac{7}{200}$$ × 100
= 3.5%
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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