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A cylinder has two circular ends, then the long side surface, which is actually a rectangle if you flatten it out. You need the radius of the circular end (distance from the middle to the edge), and the height of the cylinder to work out the surface area.

Doing the circular ends first, the surface area is given by the formula PI x radius squared. PI is 3.1415 for normal use. There are two ends, so count the answer twice.

The side surface is a rectangle with one side of the height of the cylinder, and the other side the circumference of the circular end. The circular end length is 2 x PI x radius of the circular end. Now multiple that answer by the height of the cylinder.

Finally add together the area of the two ends (don't forget to count both), and the area of the rectangle making up the long side, nd that's your answer.

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