Question

The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, then the ratio of their curved surface areas is ​

Answer 1

Since the diameters of two cones are equal, their radius will also be the same.

Let the slant height of the two cones be l₁ and l₂ respectively.

Therefore, l₁:l₂=5:4

The curved surface area of the two cones are πrl₁ and πrl₂.

So, the ratio of their curved surface area are πrl₁/πrl₂.

π and r are cancelled.

l₂

l₁

=

4

5

So, the ratio of the curved surface area of two cones is 5: 4

hope this will help you