Bouncing stuff around like that not only increases the loading on backbones and brances by double the bandwidth used, it can never go any faster than the slowest branch in the resulting path... If one of your volunteers happens to be on a 256k DSL connection, serving half a dozen others, you're going to end up browsing and downloading at the most spectacularly slow speeds you've ever seen... Just like the good old dialup days...
What is Tor?
The name "Tor" can refer to several different components.
The Tor software is a program you can run on your computer that helps keep you safe on the Internet. Tor protects you by bouncing your communications around a distributed network of relays run by volunteers all around the world: it prevents somebody watching your Internet connection from learning what sites you visit, and it prevents the sites you visit from learning your physical location. This set of volunteer relays is called the Tor network. You can read more about how Tor works on the overview page.
The Tor Project is a non-profit (charity) organization that maintains and develops the Tor software.