The formula of the Surface Area of a cilinder:
[tex]SA=2\pi rh+2\pi r^2[/tex]
r = 2 yd
h = 1 yd
Substitute:
[tex]SA=2\pi\cdot2\cdot1+2\pi\cdot2^2=4\pi+8\pi=12\pi\ yd^2[/tex]