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      Question

      A cylindrical oil tank has a radius of 5 m and a total

      surface area of 628 m², what would be its curved surface area? (round off to the second decimal place)
      A 371.83 m² Correct Answer Incorrect Answer
      B 401.43 m² Correct Answer Incorrect Answer
      C 470.8 m² Correct Answer Incorrect Answer
      D 481.43 m² Correct Answer Incorrect Answer

      Solution

      Given Total Surface Area (TSA) = 628 m2 Given radius (r) = 5 m TSA = 2πr(r + h) 628 = 2π × 5 × (5 + h) ⇒ 628 = 10π × (5 + h) ⇒ 628 = 10 × 22/7 × (5 + h) ⇒ 19.98 = 5 + h ⇒ h = 14.98 m Now, CSA = 2πrh CSA = 2π × 5 × 14.98 ⇒ CSA = 10π × 15 ⇒ CSA = 10 × 22/7 × 14.98 ⇒ CSA = 470.8 m2

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