Correct Answer - Option 1 : 1 : 252
Ratio of radii of two cones = 1 : 36
Ratio of slant height of two cones = 1 : 7
Curved surface area of cone = πrl
Where r and l are radius and slant height of a cone respectively.
Where R and r radius of first and second cone
CSA1/CSA2 = (1/36) × (1/7)
CSA1/CSA2 = 1 : 252
∴ The ratio of the two curved surface area of a cone is 1 : 252.