A certain radar has losses of \(5 d B\) and a receiver noise figure of \(10 d B\). This radar has a detection coverage requirement that extends over \(3 / 4\) of a hemisphere and must complete it in 3 seconds. The base line target RCS is \(6 \mathrm{dBsm}\) and the minimum \(S N R\) is \(15 \mathrm{~dB}\). The radar detection range is less than \(80 \mathrm{~km}\). What is the average power aperture product for this radar so that it can satisfy its mission?