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    Question

    The sum of the radius and height of a cylinder

    is 34m. The total surface area of the cylinder is 5984 m². What is the volume (in m³) of the cylinder?
    A 14784 Correct Answer Incorrect Answer
    B 15940 Correct Answer Incorrect Answer
    C 16320 Correct Answer Incorrect Answer
    D 16860 Correct Answer Incorrect Answer

    Solution

    Total Surface area of the cylinder = 5984 m². ⇒ 2 π r ( r + h ) = 5984 m² ⇒ 2 x `22/7` x r x 34 = 5984 m² ⇒ r = `(5984xx7)/(2xx22xx34)` = 28 ` ` Volume of the cylinder = π r ² h =`(22xx28xx28xx6)/ 7` = 14784 m ³

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