A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y = ax2 about the -axis. If the dish is to have a 10-ft diameter and a maximum depth of 2...

A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y = ax2 about the -axis. If the dish is to have a 10-ft diameter and a maximum depth of 2 ft, find the value of and the surface area of the dish.