Question

the diameter of two cones are equal. if their slant height are in the ratio of 5:4
find the ratio of their curved surfaces

Answer 1

Answer:

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

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