The board of aldermen shall have power to purchase, receive, and to hold real estate, as herein mentioned, for public cemeteries, either within or without the city, within a distance of three miles thereof, and the city and its officers shall have jurisdiction over the said cemeteries wherever located; provided, that no such cemetery shall exceed eighty acres in one body. The board of aldermen shall provide for the survey, platting, grading, fencing, ornamenting and improving of all the cemetery ground, and the avenues leading thereto, owned by the city, and may construct walks and protect ornamental trees, and provide for paying the expenses therefor. The board of aldermen may make rules and pass ordinances imposing penalties and fines, regulating, protecting and governing city cemeteries, the owners of lots therein, visitors thereto, and punish trespassers therein, and the officers of such city shall have as full jurisdiction and power in the enforcing of such rules and ordinances as though they related to the city itself.