To find the surface area of the outside of the cylinder, we need to calculate the area of the curved surface (lateral surface area) and the areas of the top and bottom faces separately, and then add them together.
The curved surface area of a cylinder can be found using the formula: 2Ï€rh, where r is the radius and h is the height.
So, the curved surface area = 2 * 3.14 * 4 * 3 = 75.36 ft^2
The area of one circular face of the cylinder can be found using the formula: πr^2.
So, the area of one circular face = 3.14 * 4^2 = 50.24 ft^2
Since there are two circular faces (top and bottom), the total area of both circular faces = 2 * 50.24 = 100.48 ft^2
Finally, to find the total surface area, we add the curved surface area and the areas of the top and bottom faces:
Total surface area = curved surface area + total area of both circular faces = 75.36 + 100.48 = 175.84 ft^2.
Therefore, the surface area of the outside of the cylinder is 175.84 square feet.