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      Question

      A hollow cylinder is made up of steel. the difference in

      its outer and inner curved surface area is 132cm2.Height of cylinder is 21 cm and sum of the inner and outer radius is also 21 cm. Find the Total surface of the hollow cylinder.
      A 2904cm2 Correct Answer Incorrect Answer
      B 2304cm2 Correct Answer Incorrect Answer
      C 1756cm2 Correct Answer Incorrect Answer
      D 1331cm2 Correct Answer Incorrect Answer

      Solution

      We have -2 Ο€ h (R-r) = 132 = 2Γ—22/7Γ—21(R-r) =132 R-r = 1 Also given – R + r = 21 Then – R = 11cm, r = 10cm. So, the total surface of the hollow cylinder = 2 Ο€ h(R-r) +2 Ο€ (R2-r2) =2 Ο€ (R +r) [h +R-r] =2Γ—22/7Γ—21(21+1) =6Γ—22Γ—22 =2904cm2

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