Question 658567
You're probably forgetting the surface area of the two circles at the ends of the cylinder.

d = 2.5 in., h = 5 in.

Area of both circles = {{{2*pi*(d/2)^2}}} = 9.8 square inches
Area of the tube = {{{pi*d*h}}} = 39.3 square inches
Total surface area = 49.1 square inches