Not a teacher!
On the linked page the Latin name is given as Cucumis melo L. This is a casaba melon. It is a melon within the melo species which are also known as muskmelons. Here are the sources of my great wisdom:
HS625/MV092: Melon, Casaba ? Cucumis melo L. (Inodorus group)
Muskmelon - Wikipedia, the free encyclopedia
***NOT A TEACHER***
Kharboze Mashhadi! ;)
Thank you all, yes the scientific name is "cucumis melo" as it is written under my picture I linked above. But I want you native people to tell me if you go to a supermarket or I don't know a fruit shop and you want to buy such thing, what word would you use? Since it is not probably a common fruit there, so you may call it melon or a long melon in the market.
Supermarkets, shops and market stalls have all their fruit on display – labelled and priced. Just put it in your basket or point to what you want.
If it's not on the shelves there's no point asking for it — they haven't got it.