Cornwall Council's cabinet has voted unanimously in favour of planned cuts to the unitary authority's budget.
The Conservative-Independent-run authority is planning to save £110m over four years. About 2,000 jobs are to go as a result of the cuts.
Services including leisure facilities and adult social care will also be affected by cuts or budget freezes.
Despite the decision of the 10-strong cabinet, the plans still have to go to full council for approval.
The full council is to meet to discuss the plans in November.
However, the council has agreed to set up a working group to study funding for Camelford Leisure Centre which is threatened with losing council cash.
Staff at the centre said earlier this month that officials told them their subsidy was to be withdrawn at the end of the year.
About 30 protesters against the move were outside County Hall on Wednesday morning while the cabinet meeting was taking place.
Afterwards, the cabinet member responsible for leisure centres, Councillor Joan Symons, said she would meet people to consider alternative ways of saving money which could benefit the centre.
She said: "We're going to be able to look at other alternatives."