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.