Settled sewage is to be treated by a trickling filter. The settled sewage flow and BOD$5$ are $2000$ m$3/$d and $150$ mg$/$L respectively. The trickling filter effluent of $20$ mg$/$L BOD$5$ is recycled at a rate of $1000$ m$3/$d to dilute the incoming sewage before it enters the trickling filter. Calculate the filter diameter and depth. Assume the organic loading and hydraulic loading rates are $0\mathrm{.}1$ kg$/$m$3.$d and $0\mathrm{.}06$ m$3/$m$2.$h respectively.