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Question -

There are two cones. The curved surface area of one is twice that of the other. The slant height of the later is twice that of the former. Find the ratio of their radii.



Answer -

In two cones, curved surface of the first cone = 2 xcurved surface of the second cone
Slant height of the second cone = 2 x slant height of first cone
Let r1┬аand r2┬аbe the radii of thetwo cones
and let height of the first cone = h
Then height of second cone = 2h
тИ┤ Curved surface of thefirst cone = 2╧Аr1h

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