It called the curved surface area. There is no special name for it.
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Curved surface area includes the area of the length of the cylinder only whereas surface area includes the two bases as well...
The curved surface are is: pi*diameter*height
2(pi)(r)(h)=the area of the curved surface
Curved surface area of a cylinder excluding the two end pieces = 2*pi*radius*height in square units.
It is the surface area of the two ends plus the surface area of the curved surface. Surface area of each end is pir2 Surface area of the curved surface is 2pirh Total surface area = 2pir2 + 2pirh