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      Question

      A rectangular piece of copper foil of length 28 cm and

      area 1232 cm2 is folded along its width to form a cylinder such that there is only one layer of copper foil on any part of the cylinder. What is the volume (in cm3) of the cylinder so formed?
      A 1886.5 cm³ Correct Answer Incorrect Answer
      B 4312 cm³ Correct Answer Incorrect Answer
      C 808.5 cm³ Correct Answer Incorrect Answer
      D 539 cm³ Correct Answer Incorrect Answer
      E 2425.5 cm³ Correct Answer Incorrect Answer

      Solution

      Width of the rectangular piece of copper foil = 1232/28 = 44 cm Since the foil is folded along its width to form a cylinder without any double layer, circumference of the cylinder formed = width of the rectangular foil Also, height of the cylinder so formed = length of the rectangular copper foil So, 2 × π × radius = 44 Radius of cylinder = 44 ÷ (2 × 22/7) = (44/44) × 7 = 7 cm So, volume of the cylinder so formed = π × (radius)2 × height = (22/7) × 7 × 7 × 28 = 4312 cm³

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