find the surface area of the open circular cylinder shown with the radius of 2 inch and the height is 5 inch  

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The surface area of an open cylinder is `S=pi r^2+2pi r h` where r is the radius of the cylinder and h is the height.

To find the surface area in this case, sub in the numbers and simplify

`S=pi r^2+2 pi r h`  sub in r=2, h = 5

`=pi 2^2+2pi (2)(5)`  simplify

`=4pi+20 pi`  collect like terms


The surface area of the cylinder is `24pi` square inches.

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