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      Question

      If the curved surface area of a cylinder is 126π cm²

      and its height is 14 cm. then, what is the volume of the cylinder?
      A 253.5π cm³ Correct Answer Incorrect Answer
      B 276.5π cm³ Correct Answer Incorrect Answer
      C 283.5π cm³ Correct Answer Incorrect Answer
      D 263.5π cm³ Correct Answer Incorrect Answer

      Solution

      given - height = 14cm  the curved surface area of a cylinder = 126 π 2πrh = 126π 2π × r× 14 =126π r = 9/2= 4.5 cm so now the volume of the cylinder = πr²h =4.5×4.5×14 × π =(9×9×7) π/2 =567π/2 =283.5π cm³ 

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