"Cucina" vs "fornello"

Question

I am looking for the Italian words for burner (small cylindric bored metal through which gas passes and fire is lighted in a gas stove) and stove (set of 4/6 burners and an oven below them, usually used in domestic kitchens to cook food).

I think that cucina means stove and fornello/fuoco means burner, but oddly https://www.wordreference.com/enit/stove also gives fornelli and fuochi as translation of stove. Is that right?

I tried to clear up the question by reading http://www.treccani.it/vocabolario/fornello/, but then I got more confused when I found the following sentence.

fornèllo s. m. [dim. di forno]. – 1. […] f[ornello] a gas, apparecchio metallico dove i combustibili gassosi bruciano, senza produzione di ceneri, allo sbocco di apposite tubazioni fornite di speciali dispositivi per regolare l’efflusso e quindi la fiamma; nei fornelli a combustibile liquido, come l’alcol, il petrolio e la benzina, l’alimentazione della fiamma avviene per capillarità attraverso materiali tessili (stoppino, calzetta), o, nei tipi più moderni, sotto forma di gas prodotto per il calore e la pressione da combustibile liquido. Per analogia, f[ornello] elettrico, nome dato ad apparecchi, adoperati per gli usi anzidetti, in cui il calore è prodotto dalla corrente elettrica, e in partic[olare] alla piastra metallica delle cucine elettriche.

If I understood this definition right, fornello may either mean stove or burner. Is that right?

For instance, are the following sentences correctly translated?

• This stove has 4 burners and an oven. (Questa cucina ha quattro fornelli/fuochi e un forno.)
• The left upper burner of my stove is not working. (Il bruciatore/fornello/fuoco superiore sinistro della mia cucina non funziona.)

Answer 1

Italian words for "burner" (small cylindric bored metal through which gas passes and fire is lighted in a gas stove) and "stove" (set of 4/6 burners and an oven below them ...

In this context, use "cucina" for the appliance used to cook/heat food; it has one or more "fornello/i", or "fuoco/fuochi". More technically, a single "fornello" has a "bruciatore" (burner) which burns the gas, and something to hold a pot above the flame. A normal user could complain saying "the upper right burner doesn't work" ("il fornello/fuoco in alto a destra non funziona"); the technician would probably clean or substitute the burner ("bruciatore", only the part which produces the flame). Note also that a "fornello" can be electrical: in that case it has no burner.

You can also cook using a "stufa" (stove). The "stufa" burns mostly wood. From "stufa" derives the term "stufato" (cooked on a "stufa"); but "stufa" is also a burner used to heat a room, not especially designed to cook, where you can anyway put a pot on it to heat water or other meals.

1) I think that cucina = stove and fornello/fuoco = burner

Yes, this is quite right.

2) reading http://www.treccani.it/vocabolario/fornello/ ... If I understood this definition right, "fornello" may mean both "stove" and "burner". Is that right?

Not quite in this context. A "fornello" is what you use to heat a pot; a "cucina" typically has more than one "fornello" (otherwise it would be called simply "fornello"). A stove may also be used for that, especially if it is one designed not only to heat a room, but also to cook; in that case, the stove ("stufa") has an upper plate where you lay the pots, and an oven beside the burner.

This stove has 4 burners and an oven. (= Questa cucina a quattro fornelli/fuochi e un forno)

Yes, this is almost completely correct: "Questa cucina ha quattro ...".

The left upper burner of my stove is not working. (= Il bruciatore/fornello/fuoco superiore sinistro della mia cucina non funziona)

Yes again: perfectly translated. Congratulations.

--- EDIT after many comments ---

Actually not all the sources agree on "stufato", but I've found these: https://educalingo.com/it/dic-it/stufato "In the dictionary, the first definition of stufato is heated into a stove"

https://dizionari.repubblica.it/Italiano/S/stufato.html "Heated in the stove"

https://dizionari.repubblica.it/Italiano/S/stufare.html "To heat inside a stove"

http://www.treccani.it/vocabolario/stufare/ "To treat a product with heat in stoves or special containers"

My Zingarelli on paper from 2001 cites, as first meaning of "stufare", marked as rare or dismissed, "to heat inside a stove".

Now, maybe "stufato" derive from "stufare" - not "stufa", but this is, I think, not very important for who asked the question. Instead, perhaps the whole sentence about the "stufato" could have been omitted; I wrote that to mark the meaning of something that was used to cook, but no more nowadays.