To find the surface area of the cylinder, we need to calculate the areas of the top and bottom circles, as well as the curved surface area.
The area of a circle is given by the formula A = πr^2, where r is the radius.
The top and bottom circles of the cylinder have the same radius of 5 cm, so their areas are:
A_circle = πr^2 = 3.14 * 5^2 = 3.14 * 25 = 78.5 cm^2
The curved surface area of a cylinder is given by the formula A = 2Ï€rh, where r is the radius and h is the height.
A_curved surface = 2Ï€rh = 2 * 3.14 * 5 * 15 = 3.14 * 150 = 471 cm^2
Now, to find the total surface area, we add the areas of the top and bottom circles to the curved surface area:
Total surface area = 2(A_circle) + A_curved surface = 2(78.5) + 471 = 157 + 471 = 628 cm^2
Therefore, the surface area of the cylinder is 628 square centimeters.