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Question

The diameters of two cones are equal. If their slant heights are in the ratio 3:4, then find the ratio of their curved surface areas.


A

3 : 5

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B

5 : 4

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C

2 : 3

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D

3 : 4

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Solution

The correct option is D

3 : 4


Diameters of cones are equal i.e. r1=r2=r

Curved surface area of first cone
=π×r×l1

Curved surface area of second cone
=π×r×l2

Ratio of curved surface areas
=CSA of cone 1CSA of cone 2

=π×r×l1π×r×l2=34=3:4


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