Mazda 626 Radiator Radiator Hose

I Cant Even Find Out What To Call This But My Car Started To Overheat And I Found A Hose With What Looks Like A Pipe Running Through It...

My Mazda 626 Dumped Radiator Fluid On The Ground I Looked At All The Hoses And The Bolt On The Bottom Of The Radiator But Couldnt Find...

My 96 Mazda Radiator Hoses(upper And Lower) Needs To Be Replaced.the Mechanic Quoted $200 For That. I Wonder If I Can Do That Job My Self So...