The answer should be 125.66 inches.
So you know two things, the radius and the slant height.
The formula you are going to use is SA=π•r^2+π•r•L
SA= Surface Area
r = Radius
L= Slant Height
So now you plug the variables into the formula.
[tex]\pi \times {4}^{2} + \pi \times 4 \times 6[/tex]
[tex]\pi \times 16 + \pi \times 24[/tex]
[tex]40 \times \pi = 125.66[/tex]
After just pick the answer closest to this one. And you should get the correct answer. :)