To solve this problem you must apply the fomrula for calculate the area of a cylinder, which is shown below:
A=2πrh+2πr^2
Where r is the radius and h is the height of the cylinder
You have that r=15.1 inches and h=12.8 inches, then:
A=2πrh+2r^2
A=2π(15.1 in)(12.8 in)+2π(15.1 in)^2
A=2647 in^2
The answer is 2647 in^2