The diameter of a pipe carrying water from a tank to an exit needs to be found. The tank is 10m above the exit and the pipe is 20m in length. The...

The diameter of a pipe carrying water from a tank to an exit needs to be found. The tank is 10m above the exit and the pipe is 20m in length. The minor losses are an entrance loss (K=0.5), two 90 degree bends (K=0.9) and a gate valve (K=0.2). The pipe is to be made of galvanized iron and the required flow rate is 0.5 m^3/s. Determine the smallest diameter possible to the nearest 0.025m.