height vs ceiling

height and ceiling both are nouns.

Word	Noun	Adjective	Verb	Adverb
height	Yes	No	No	No
ceiling	Yes	No	No	No

As nouns, ceiling is a hyponym of height; that is, ceiling is a word with a more specific, narrower meaning than height:

Other hyponyms of height include level.

height (noun)	ceiling (noun)
the vertical dimension of extension; distance from the base of something to the top	the overhead upper surface of a covered space
(of a standing person) the distance from head to foot	(meteorology) altitude of the lowest layer of clouds
elevation especially above sea level or above the earth's surface	maximum altitude at which a plane can fly (under specified conditions)
the highest level or degree attainable; the highest stage of development	an upper limit on what is allowed