Question

Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio 4 : 3.

Answer 1

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Radius of both the cones =r

Let :-

L1 =4l L2=3l

CSA1 /CSA2= 22/7 ×r ×4l ÷22/7 ×r ×3l

=4l ÷3l

=4/3

=4:3

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Answer 2

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Let,

the slant height of one cone be 4l unit.

the slant height of another cone be 3l unit.

diameters of their bases be 2r unit.

So, radius = r unit.

So, ratio of their C.S.A. is = πr × 4l : πr × 3l

= 4 : 3

Answer:- 4:3