Multiple choice

If the ratio of curved surface area of cylinder to the volume of cylinder is 2: 21 while the ratio of diameter of cylinder to the height of cylinder is 7:3. Find the total surface area of cylinder?

  1. 5148 m2

  2. 5146 m2

  3. 5040 m2

  4. 4851 m2

  5. none of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let radius = r and height = h. Curved surface area = 2πrh, volume = πr²h. Given CSA:Volume = 2:21, so 2πrh / πr²h = 2/21, which gives 2/r = 2/21, so r = 21. Also given diameter:height = 7:3, so 2r/h = 7/3. With r = 21, we get h = 18. Total surface area = 2πr(r+h) = 2π × 21 × 39 = 1638π ≈ 5148 m² (using π ≈ 22/7). Option A is correct.