Question

There are two cones. The curved surface area of one cone 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 1

r1 is radius of first cone and r2 is radius of second cone. l1 is slant height of first cone and l2 is slant height of second cone. CSA of first cone= π × r1 ×l1 CSA of second cone= π × r2 × l2 Given, CSA of 1st=2× CSA of 2nd π×r1×l1=2×π×r2×l2 Dividing by pi, r1×l1=2×r2×l2 Given, l2=2×l1 Putting this in first equation, r1×l1=2×r2×2×l1 Dividing by l1, r1=4×r2 r1÷r2=4 r1:r2=4:1

Answer 2

Answer:

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