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      Question

      If the curved surface area of a cylindrical drum is 660

      cm² and its height is 10 cm, then find the diameter of the drum.
      A 21 cm Correct Answer Incorrect Answer
      B 41 cm Correct Answer Incorrect Answer
      C 27 cm Correct Answer Incorrect Answer
      D 33 cm Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the radius of the drum be 'r' cm.

      Curved surface area of the cylinder = 2 × π × radius × height

      ATQ,

      2 × (22/7) × 10 × r = 660

      So, r = (660 × 7) ÷ (2 × 22 × 10) = 10.5

      Therefore, diameter of the drum = 2 × r = 2 × 10.5 = 21 cm

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