A hydroponic garden uses the 10 m long perforated pipe system to deliver water at 20ºC. The pipe is 5cm in diameter and contains a circular hole every 20 cm. A pump delivers water at 75 kPa (gage) at the entrance, while the other end of the pipe is closed. pressure near the closed end of the perforated "manifold" is surprisingly high and there will be too much flow trough the holes near that end. One remedy is to vary the hole size along the pipe axis. Make a design analysis to pick the optimum hole-size distribution that will make the discharge flow rate as uniform as possible along the pipe axis. You are constrained to pick hole sizes that correspond only to commercial metric drill-bit sizes available to the typical machine shop.