To find the surface area of a cylinder, you can use the formula:
surface area = 2 * pi * r * h + 2 * pi * r^2
where r is the radius of the cylinder and h is the height of the cylinder.
Plugging in the given values, we get:
surface area = 2 * pi * 5 * 7 + 2 * pi * 5^2
= 70 * pi + 50 * pi
= 120 * pi
The surface area of the cylinder is approximately 377.7 square miles. Rounding to the nearest thousandth, the answer is 377.7 square miles.