NEED HELP ID'ing this part
 

Hi, everyone,

I have a 2010 Mini Cooper that has a hose broken off from a part that I need identified. The hose is coming from the coolant reservoir because it seems while pouring coolant into the reservoir tank, coolant was just pouring out from underneath the front part of the car. I've attached pics where you can see a hose with a pinch clamp with a broken piece in it. What part did this hose break off from?

Thank you so much for you help

https://cimg3.ibsrv.net/gimg/minicoo...f9adf01c69.jpg
hose looks like it should attach to the black part
https://cimg4.ibsrv.net/gimg/minicoo...4d48a021ed.jpg
hose looks like it should attach to the black part
https://cimg6.ibsrv.net/gimg/minicoo...1350c13f0e.jpg
hose looks like it should attach to the black part