There are two ways to enclose a rectangle with a length of 260.2 cm and a width of 134.6 cm into a cylinder, namely, the length and height or the width and height. The volumes of these two methods are calculated as follows:
When the length is high, the circumference of the cylinder bottom is 134.6-9= 125.6, that is, the bottom diameter d= 125.6/3. 14=40, and the cylinder volume = 3.14x2x20.
When the width is high, the circumference of the bottom surface of the cylinder is 260.2-9=25 1.2 at the maximum, that is, the diameter of the bottom surface d=25 1.2/3. 14=80, which exceeds the width of the open space by 60 cm, so when the width is high, the diameter of the bottom surface of the cylinder should be 60 cm.
Taken together, the volume of the second case is even greater than 380,379.6 cubic centimeters.