require vs cost

require is not a noun while cost is a noun.

Word	Noun	Adjective	Verb	Adverb
require	No	No	Yes	No
cost	Yes	No	Yes	No

As verbs, cost is a hyponym of require; that is, cost is a word with a more specific, narrower meaning than require:

Other hyponyms of require include claim, exact, take, govern, draw, cry for, cry out for, compel.

require (noun)	cost (noun)
	the property of having material worth (often indicated by the amount of money something would bring if sold)
	value measured by what must be given or done or undergone to obtain something
	the total spent for goods or services including money and time and labor

require (verb)	cost (verb)
make someone do something	be priced at
consider obligatory; request and expect	require to lose, suffer, or sacrifice
have need of
require as useful, just, or proper