Question

the diameter of two cones are equal if their slot height are in the ratio 7 : 8 then find the ratio of their current surface area​

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.

l₂l₁=45

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

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