The surface area of the cylinder consists of the curved lateral surface area and the areas of the top and bottom faces.
The curved lateral surface area can be calculated using the formula: A = 2Ï€rh, where r is the radius and h is the height.
A = 2 * 3.14 * 4 * 3
A = 75.36 square feet
The area of each circle (top and bottom faces) can be calculated using the formula: A = πr^2
A = 3.14 * 4^2
A = 50.24 square feet
To find the total surface area, we add the lateral surface area and the areas of the top and bottom faces:
Total surface area = 75.36 + 50.24 + 50.24 = 175.84 square feet
Therefore, the surface area of the cylinder is 175.84 square feet.