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      Question

      The sum of the radius and height of a cylinder is 19m.

      The total surface area of the cylinder is 1,672 m². What is the volume of the cylinder?
      A 3,080 m³ Correct Answer Incorrect Answer
      B 2,940 m³ Correct Answer Incorrect Answer
      C 3,220 m³ Correct Answer Incorrect Answer
      D 2,660 m³ Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Surface area of the cylinder = 1,672 m². ⇒ 2πr (r + h) = 1,672 m² ⇒ 2 × 22/7 × r × 19 = 1,672 m² ⇒ r = `(1672xx7)/(2xx22xx19)` = 14 ∴ h = (19 - 14)m = 5m ∴Volume of the cylinder = πr² h = `22/7xx14xx14xx5` = 3,080m³

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