Think of slitting the cylinder down one side, then unroll it and lay it down flat.
What you have then is a rectangle. The area of the rectangle is: (length x width).
The length of the rectangle used to be the length of the cylinder, and the width of
the rectangle used to be the circumference of the circle at the end of the cylinder,
which is (pi) x (diameter of the cylinder), or (pi) x (double the radius of the cylinder).
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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...
face or surface are related words for a surface area of a cylinder
This cylinder's surface area is 980.21 units2
no
The cylinder's surface area is 4,241.15 square inches.