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The diameters of two cones are equal. If their slant heights be in the ratio of 5 : 7, then find the ratio of their curved surface areas.?

Q: The diameters of two cones are equal. If their slant heights be in the ratio of 5 : 7, then find the ratio of their curved surface areas.?

Given, l1/l2 = 5/7 Now, curved surface area of the first cone = π rl1 and curved surface area of second cone = πrl2 ∴ Ratio = πrl1/πrl2 = l1/l2 = 5 : 7

25 : 7
25 : 49
5 : 49
5 : 7

Correct Answer: 5 : 7

Explanation:

Given, l₁/l₂ = 5/7
Now, curved surface area of the first cone = π rl₁
and curved surface area of second cone = πrl₂
∴ Ratio = πrl₁/πrl₂ = l₁/l₂ = 5 : 7

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