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      Question

      A right circular cylinder has the same radius as a

      circle whose circumference is 220 units. The height of the cylinder is 20% less than its radius. Find the curved surface area of this cylinder.
      A 4060 unit² Correct Answer Incorrect Answer
      B 6160 unit² Correct Answer Incorrect Answer
      C 6360 unit² Correct Answer Incorrect Answer
      D 4160 unit² Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let radius of the circle (and cylinder) be = r. So, 2 * (22/7) * r = 220 Or, r = 220 * 7 / 44 r = 35 units Height of cylinder is 20% less than radius: Height = 35 * (100 − 20) / 100 = 35 * 80 / 100 = 28 units So, curved surface area of cylinder = 2 * (22/7) * 35 * 28 = 6160 unit²

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