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    Question

    If the volume of a cylinder is 486π and the ratio of

    radius to its height is 3:2 then find the curved surface area of cylinder?
    A 24π unit² Correct Answer Incorrect Answer
    B 40π unit² Correct Answer Incorrect Answer
    C 96π unit² Correct Answer Incorrect Answer
    D 108π unit² Correct Answer Incorrect Answer

    Solution

    Volume of cylinder = 486π ⇒ πr2h = 486π ⇒ r2h = 486 units ⇒ 9x2*2x = 486 units ⇒ x3 = 27 ⇒ x = 3 Radius = 9 units & height = 6 units. Curved surface area = 2πrh Curved surface area = 108π unit ²  

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