Question
The ratio of the curved surface area and total surface
area of a cylinder is 16 : 17 . If the curved surface area of the cylinder is 308m². Find the height of the cylinder?Solution
According to the question, Curved surface area : Total surface area = 16 : 17 The curved surface area = 2 π r h The total surface are = 2 π r ( r + h ) ∴ h : ( r + h ) = 16 : 17 ⇒ h : r = 16 : 1 ⇒ r = h/16 Given, Curved surface area = 308m² ⇒ 2 π r h = 308 ⇒ 2 * 22/7 * h/16 * h = 308 ⇒ h = 28m
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