2(pi r square)+(2 pi r)*h
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Unless the context suggests otherwise, the two are the same. However, you may, for example, be required to find the curved surface area of a cylinder and [then] the total surface area. In that case the total surface area would include the areas of the two end faces.
Total surface area of a cylinder including the two end caps: (2*pi*r*h)+(2*pi*r2) in square units
Calculate them and compare.
Find the surface area of each face then add them together to give the total surface area.
In order to find its height, we must know either the volume or the surface area of the cylinder.