cooking pan vs cooking utensil

cooking pan and cooking utensil both are nouns.

Word	Noun	Adjective	Verb	Adverb
cooking pan	Yes	No	No	No
cooking utensil	Yes	No	No	No

As nouns, cooking utensil is a hypernym of cooking pan; that is, cooking utensil is a word with a broader meaning than cooking pan:

cooking pan: cooking utensil consisting of a wide metal vessel
cooking utensil: a kitchen utensil made of material that does not melt easily; used for cooking

Other hypernyms of cooking pan include cookware.

cooking pan (noun)	cooking utensil (noun)
cooking utensil consisting of a wide metal vessel	a kitchen utensil made of material that does not melt easily; used for cooking