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Question
The slant height of a cone is increased by 10%. If the radius remains the same, the curved surface area is increased by
Options
10%
12.1%
20%
21%
Solution
The formula of the curved surface area of a cone with base radius ‘r’ and slant height ‘l’ is given as
Curved Surface Area = πrl
Now, it is said that the slant height has increased by 10%.So the new slant height is ‘1.1l’
So, now
New Curved Surface Area = 1.1πrl
We see that the percentage increase of the Curved Surface Area is 10%
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