The formula for the total surface area of a cylinder is 2πr(r + h), where r is the radius and h is the height.
First, we need to find the radius of the cylinder, which is half of the diameter.
Radius = Diameter/2 = 8.7/2 = 4.35
Now, we can substitute the values into the formula:
Total Surface Area = 2π(4.35)(4.35 + 5.6)
Total Surface Area = 2π(4.35)(10.95)
Total Surface Area = 301.59
Rounded to the nearest tenth, the total surface area of the cylinder is 301.6.