If the council provides a youth club / sports club / social club / drop in – that's great. But if it doesn't, and that's what the community needs, it just takes two or three committed people to get the ball rolling.
This is not about needing people with qualifications and training, it's about having people with a good heart and lots of enthusiasm. And the good news is that a voluntary group is not subject to changing funding priorities so, as long as finances are kept simple, is in control of its own destiny.
When people take charge of their own destiny they grow. It may take time and seem like hard work at times, but most volunteers get as much out as they put in, by seeing the difference they make to their community. When the feel good factor wears off it's time to hand the baton on to others, and if you make volunteering part of the culture of the organisation, there will always be someone else to take over.