Floorball is one of the most popular sports among young people in Central and Northern Europe. I used to play it as well as most of my friends.
I've never heard of "floorball" or "innebandy" either. I knew the sport as "unihockey".
It's basically a kind of hockey you play indoors in a gym with a hollow plastic ball, a plastic stick and indoor sport shoes (in contrast to ice hockey or in-line roller hockey). We used to play unihockey in gym classes at school and it was quite a lot of fun.
I thought: ah yes, indoor hockey. Except it turns out there's this and a number of separate indoor variants of both ice hockey and field hockey...
Yes, it's supposed to sound like "bændi". That part of the compound is a quite recent loanword, so it's still close to the English pronunciation.