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ExamsSSC CGL (Prelims)General

The radii of the bases of two cylinders are in the ratio 3:4, and their heights are in the ratio 5:6. What is the ratio of their curved surface areas?

  1. 5 : 4
  2. 4 : 5
  3. 1 : 2
  4. 4 : 7

Correct answer: 4 : 7

Solution

CSA of a cylinder = 2pirh. Ratio of CSAs = (r1 x h1) / (r2 x h2). With r1:r2 = 4:5 and h1:h2 = 5:7, the ratio = (4 x 5) : (5 x 7) = 20 : 35 = 4 : 7.

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