Multiple choice

The curved surface area of a cylindrical pillar is 1980 m2 and its volume is 20790 m3. Find the difference between its diameter and height.

  1. 27 m

  2. 37 m

  3. 47 m

  4. 17 m

  5. None of these

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A Correct answer
Explanation

CSA = 2*pi*r*h = 1980. Volume = pi*r^2*h = 20790. Dividing Volume by CSA: (pi*r^2*h) / (2*pi*r*h) = r/2 = 20790/1980 = 10.5. So r = 21. Then 2*pi*21*h = 1980, h = 1980 / (2 * 22/7 * 21) = 15. Diameter = 42. Difference = 42 - 15 = 27.