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    • Question

      The curved surface area of a cylindrical pipe is 990 cm².

      If the height of the pipe is 15 cm, then find the diameter of the pipe.
      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 pipe be 'r' cm.

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

      ATQ,

      2 × (22/7) × 15 × r = 990

      So, r = (990 × 7) ÷ (2 × 22 × 15) = 10.5

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

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