The city clerk, with the assistance of the city engineer and city attorney, shall, immediately after the acceptance of any local improvement provided for by ordinance of the city, either by the council or the city engineer, proceed to assess, apportion and distribute the total cost and expense of the improvement upon the property within the district as provided by law, and to that end shall compile an assessment roll therefor and shall file the same in the office of the city clerk after certifying the same to be such roll, and the clerk shall report the same to the council at the next regular meeting. The council shall thereupon fix a day for hearing upon such roll in the manner provided by law, and the clerk shall thereupon give proper notice of such hearing, and all objections to such roll not made within the time and in the manner provided by law shall be conclusively presumed to have been waived. (1957 code § 8.02.030.)