To find the surface area of a cylinder, we need to find the area of the two bases and the lateral surface area.
The area of one base is given by the formula A = πr^2, where r is the radius of the base.
In this case, the radius is 5 centimeters, so the area of one base is A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square centimeters.
Since the cylinder has two bases, the total area of the bases is 2 * 78.5 = 157 square centimeters.
The lateral surface area can be found using the formula A = 2Ï€rh, where r is the radius of the base and h is the height of the cylinder.
In this case, the radius is 5 centimeters and the height is 15 centimeters.
So the lateral surface area is A = 2 * 3.14 * 5 * 15 = 3.14 * 75 = 235.5 square centimeters.
To find the total surface area, we add the areas of the bases and the lateral surface area: 157 + 235.5 = 392.5 square centimeters.
So, the surface area of the cylinder is approximately 392.5 square centimeters, which is not listed as one of the answer choices. Therefore, none of the provided answer choices are correct.