Any person ordered to abate a nuisance may have a hearing with the Council as to whether a nuisance exists. A request for a hearing must be made in writing and delivered to the Clerk within the time stated in the notice, or it will be conclusively presumed that a nuisance exists and it must be abated as ordered. The hearing will be before the Council at a time and place fixed by the Council. The findings of the Council shall be conclusive and, if a nuisance is found to exist, it shall be ordered abated within a reasonable time under the circumstances.