cock vs phallus

cock and phallus both are nouns.

Word	Noun	Adjective	Verb	Adverb
cock	Yes	No	Yes	No
phallus	Yes	No	No	No

As nouns, phallus is a hypernym of cock; that is, phallus is a word with a broader meaning than cock:

Other hypernyms of cock include member, penis.

cock (noun)	phallus (noun)
adult male bird	the male sex organ
adult male chicken
faucet consisting of a rotating device for regulating flow of a liquid
the part of a gunlock that strikes the percussion cap when the trigger is pulled
obscene terms for penis

cock (verb)	phallus (verb)
set the trigger of a firearm back for firing
to walk with a lofty proud gait, often in an attempt to impress others
tilt or slant to one side