Hyundai Elantra 2003 Alternator belt broke / also found coolant everywhere

What is your question?

My daughter's old Hyundai Elantra 2003 alternator belt broke. As I opened up the hood, I found the broken belt, but also coolant everywhere. Any thoughts if those two things are related? (Like if belt breaking caused coolant to leak out everywhere for some reason ...or purely coincidental separate incidents?) I replaced belt, and possibly over-filled the radiator with more coolant. I drove it around during the block, but now coolant is everywhere inside engine again and leaking coolant. Maybe it's a hose....? I'm hoping it's not a radiator leak... any thoughts?