I'm sure you do use your phone more throughout the day but the internet is just WAY more of a useful tool in other ways. Hell you could still connect with people via the internet anywhere through social networking sites on a laptop. If you chose the cell phone all your choosing is a phone. Dude you can have the internet and get a land line.
Life without the internet is no life I want to live.
EDIT: Oh and Arm or leg...I'll take leg. You can get a prosthetic leg and get around pretty good. Missing an arm would have way more of an impact on what you're able to do.
Would you rather have farts that everyone can see (like a green cloud every time you fart) or pee your pants every time you laugh.