# A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y = ax 2 about the y-axis. ?

A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y = ax 2 about the y-axis. If the dish is to have a 18-ft diameter and a maximum depth of 4 ft, find the value of a and the surface of area of the dish.

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