Tenn. Code § 6-51-114
In the event any area is annexed to any municipality, the municipality may have a special census and in any county having a population of not less than two hundred seventy-six thousand (276,000) nor more than two hundred seventy-seven thousand (277,000), according to the 1970 federal census or any subsequent federal census, the municipality shall have such special census within the annexed area taken by the federal bureau of the census or in a manner directed by and satisfactory to the department of economic and community development, in which case the population of such municipality shall be changed and revised so as to include the population of the annexed area as shown by such supplemental census. The population of such municipality as so changed and revised shall be its population for the purpose of computing such municipality's share of all funds and moneys distributed by the state among the municipalities of the state on a population basis, and the population of such municipality as so revised shall be used in computing the aggregate population of all municipalities of the state, effective on the next July 1 following the certification of such supplemental census results to the commissioner of finance and administration.
T.C.A. § 6-51-114