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      Question

      The curved surface area of a cylindrical roller is 792

      cm². If its height is 18 cm, find the diameter of the roller.
      A 14 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

      Solution

      ATQ,

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

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

      ATQ,

      2 × (22/7) × 18 × r = 792

      So, r = (792 × 7) ÷ (2 × 22 × 18) = 7

      Therefore, diameter of the roller = 2 × r = 2 × 7 = 14 cm

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