A Cylindrical Gas Container Is Closed At The Top And Open At The Bottom; If The Iron Plate Forming The Cylindrical Sides. The Ratio Of The Height To Diameter Of The Diameter Of The Cylindrical Using Minimum Material For The Same Capacity Is

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A cylindrical gas container is closed at the top and open at the bottom; if the iron plate forming the cylindrical sides. The ratio of the height to diameter of the diameter of the cylindrical using minimum material for the same capacity is


Correct option is


Volume cylinder = π r2 h = constant; then let

          r2 h = k           or           

Area of metal sheet used = π r2 + 2πrh  

                                           (top)         (curved)  

A (rh) = π r2 + 2πrh   




A is min at   




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