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?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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