First of all, find the area of the circle on top of the cylinder, using the formula... pi x radius^2 ... Multiply that by two because there are two circles on the cylinder.
Then find the area of the rest of the cylinder, which is basically a rectangle. So, get the height, and multiply it by the circumference of the circle (also the length of one side of the rectangle) using the formula ... pi x diameter ...
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Use the Formula Lateral Surface Area= 2(pi=3.14)rh
that would be specific to the object involved. for example, if you needed to find the surface area of the inside of a cylinder in an engine, i could help you find out how much that cylinder can displace, helping you find horsepower for that cylinder. then you could multiply that number by the number of cylinders the engine has to give you the total horsepower of the engine.
Area is for two-dimensional shapes, like rectangles or squares, and surface area is for three-dimensional shapes, like pyramids and cylinders.
They both depend on circumference not perimeter.
Change in height and circumference