coconut cream vs coconut milk

coconut cream and coconut milk both are nouns.

Word	Noun	Adjective	Verb	Adverb
coconut cream	Yes	No	No	No
coconut milk	Yes	No	No	No

As nouns, coconut cream and coconut milk are synonyms defined as:

coconut cream and coconut milk: white liquid obtained from compressing fresh coconut meat

coconut cream (noun)	coconut milk (noun)
white liquid obtained from compressing fresh coconut meat	clear to whitish fluid from within a fresh coconut
	white liquid obtained from compressing fresh coconut meat