Use a piece of paper and scissors, you can cut out two sides by the following way to form a cylinder: horizontal paper cutting (parallel to the shorter side) to get two rectangular part, starting from the first part, cut out a maximum radius of circle, the circle will form the bottom of the cylinder, the second part will scroll up, make its circumference and the circumference of the circle is equal, then connect one end of the roll to the circle, please note that the roll may have some overlap, in order to obtain the required perimeter, in the case of a given paper size, can you calculate the can use the above steps to construct the maximum amount of drum?

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I hope it can help you: https://blog.csdn.net/it_xiangqiang/category_10581430.html
I hope it can help you: https://blog.csdn.net/it_xiangqiang/category_10768339.html