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A cylinder has two plane ends. Each plane end is circular, and these two plane ends are parallel to each other.
 
Also, a cylinder has two dimensions, namely radius and height.
 
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The net of a cylinder looks like this.
 
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\text{The total surface area of a cylinder} = \text{Area} 1 + \text{Area} 2 + \text{Area} 3
 
= \pi r^2 + 2\pi rh + \pi r^2
 
[Since \text{Area} 1 and \text{Area} 3 are circles]
 
= 2\pi r^2 + 2\pi rh
 
= 2\pi r(r + h)
 
Let us now look at the lateral surface of the cylinder.
 
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The shaded portion forms the lateral surface of the cylinder.
 
\text{The lateral (or curved) surface area of a cylinder} = \text{Area} 2 = 2\pi rh