Ohio Rev. Code § 755.18: Payment of expenses.

All expenses incurred in the operation of parks, playgrounds, playfields, gymnasiums, swimming pools, public baths, indoor recreation centers, and community centers, established as provided by sections 755.12 to 755.17 of the Revised Code, shall be payable from the treasury of the municipal corporation, township, township park district, county, or school district, or in the case of a joint recreational district or an educational service center, from its general fund. The local authorities of a municipal corporation, county, township, township park district, or school district having power to appropriate money may annually appropriate and cause to be raised by taxation an amount for the purpose of maintaining and operating those parks, recreational facilities, and community centers.

A joint recreation district may levy a tax, subject to Chapter 5705. of the Revised Code, to acquire, maintain, and operate recreational facilities and community centers.