Here's something to think about in regards to girth. I have two police batons; one PR-24 (martial arts style baton with side handle) and one traditional straight baton, and both fit into toilet paper rolls (Cottonelle tp) and paper towel rolls (bounty paper towels). Now of course these batons are pretty much perfectly round, unlike many penises, but I think that puts things into perspective. Those big sticks used by law enforcement are most likely thinner/less girthy than your cock, if you can't fit through a roll.