Connections to a water main of the city from premises that are outside the corporate limits of the city and are not subject at that time to being brought within the corporate limits of the city may be made only after obtaining approval of the City Council, and complying with the other conditions set forth in this and succeeding sections of this article and of Chapter 21 of this code, as amended. Subsequent extensions of or additional connections to such mains or laterals may be made only after obtaining approval of the City Manager, or the designee of the City Manager, and complying with the other conditions set forth in this and succeeding sections of this article and of Chapter 21 of this code, as amended. If the line to be connected is a service line, application for a permit to connect shall, after approval of the application by the City Council, or, as the case may be, the City Manager, also be filed with the Plumbing Inspector.