As a participant in this thought experiment, you can (and should) use whatever resources you might have available. If volunteering at a community center is the thing, then you would go down there and do that. The question is: given whatever you want, what would you practically do?
I'll touched on the two follow-up questions, but they weren't the point 1) if you've got an answer, why aren't you doing that right now? and 2) do you feel it is moral to take your best guess for fixing poverty and push it on the rest of us? Would you mandate community center service, for instance, or do you think writing a check for somebody working at a community center has the same effect as somebody who has a life purpose for doing it? (and how would you tell the difference? What if there's simply not enough people who really care about working at community centers? What then?)
Those are great follow-ups, and the conversation should continue along those lines, but really, the point was what practically was supposed to make a difference if you personally had to do it. Not some generalities about some program that looked good on 60 minutes. What you would go do right now to make one person not poor. There's Bob. Bob is poor. Go make him not poor.