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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 :
Answer & Solution
Correct Answer:
Option
B
Increase in height = 15% = $$\frac{3}{20}$$
Decrease in base radius = 10% = $$\frac{1}{10}$$
Increment in Area = 207 - 200 = 7
Required % increase in area
= $$\frac{7}{200}$$ × 100
= 3.5%
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%
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