Ballast don't fit in the white part so it was remote ballasted. Imagine me getting a plug for that cord and plugged it in without checking for lamps. Ker-boom!!!
Cool Light, as you mention it has No Ballast, maybe it's for a Filament or Self Ballasted Mercury Lamp. I have a few High Bay Lights but I need to keep them to a minimum as they are quite big.
All the Best
Colin
I might go getting a High-bay from one of those stores soon. They ARE cheap.