This figure has an INSIDE and an OUTSIDE area AND a TOP and a BOTTOM .... First let's find the INSIDE surface area.
pi x d = circumference = pi x 2(3) this CIRCUMFERENCE x HEIGHT = area
so for the inside: Area is pi x 2(3) x18
Now the same thing for the OUTSIDE pi x 2(6) x 18
Add these together SO far pi x 2(3) x 18 + pi x 2(6) x 18 = 108pi + 216pi = 324pi
Now the top and bottom Area = pi r^2 Subtract the smaller from the larger
pi (6)^2 - pi (3)^2 = pi 36 - pi 9 = pi 27 = 27pi (there are TWO of these) or 54pi
Now add it all together 54pi + 324pi = 376 pi = 376 (3.14....) = 1181.24 sq mm (rounded)