Answer:
SA = 402.14 square inches
Step-by-step explanation:
Imagine you unroll the cylinder. You will be left with a rectangle and two "lids" (disks).
The rectangular area will be of dimension:
Ar = (height)*(circumference of the disk)
Ar = (12 in) * (8 in) *pi = 301.60 in^2
The area of one disk will be
Ad = pi*(radius^2) = pi*(4^2 in^2) = 50.27 in^2
So the total surface area will be
SA = Ar + 2* Ad = 402.14 in^2 (square inches)