Cut a cylinder with a circumference of 28.26 cm and a height of 10 cm into two and a half cylinders along the diameter of the bottom. How much has the surface area of the two and a half cylinders increased

Cut a cylinder with a circumference of 28.26 cm and a height of 10 cm into two and a half cylinders along the diameter of the bottom. How much has the surface area of the two and a half cylinders increased


Bottom perimeter = 2 * 3.14 * r = 28.26, r = 4.5. Bottom area = 3.14 * r * r = 63.585
Cylinder side area = 28.26 * 10 = 282.6
The surface area of one semicircle = bottom area + half of cylinder side area + 2 * diameter * height = 294.885, the area of two semicircles = 589.77
The surface area of cylinder = 2 * bottom area + side area of cylinder = 409.77
As a result, an increase of 180
In fact, it seems that two surfaces with diameter * height = 180 have been added