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      Question

      The sum of the radius and height of a cylinder is 42m.

      The total surface area of the cylinder is 5544 m². What is the volume of the cylinder?
      A 29106 m┬│ Correct Answer Incorrect Answer
      B 21940 m┬│ Correct Answer Incorrect Answer
      C 30220 m┬│ Correct Answer Incorrect Answer
      D 28660 m┬│ Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Surface area of the cylinder = 5544 m². ⇒ 2 πr ( r + h ) = 5544 m² ⇒ 2 × 22/7 × r × 42 = 5544 m² ⇒ r = (5544 × 7 )/(2 × 22 × 42) = 21 ∴ h = 42 - 21 = 21m ∴Volume of the cylinder = πr² h = 22/7 × 21 ×21 × 21 = 29106 m³

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