Answer
The receiver must be placed at 4.5 feet from the base
of the dish.
Work Step by Step
As per the given statement , we have Depth: $y=2$
and Diameter = 12 feet. This implies that Radius: $2x=12 \implies x=6$
Now, consider $x^2=4py$
This implies that $(6)^2=(4p)(2) \implies p=4.5$
Hence, the receiver must be placed at 4.5 feet from the base
of the dish.