The net appears to describe a cylinder with diameter 8.46 ft and height 17.25 ft. The total surface area is the sum of the areas of the circles and the rectangle.
The area of a circle with diameter d is given by
A = (π/4)d²
The area of the rectangle is the product of its length (πd) and width (h).
A = πdh
So, the total area is the sum of the areas of 2 circles and the rectangle:
A = 2(π/4)d² +πdh
A = πd(d/2 +h)
A = π(8.46 ft)(4.23 ft +17.25 ft) = 181.7208π ft²
A ≈ 570.89 ft²
The surface area of the cylinder formed by the net is about 570.89 ft².