coconut milk vs coconut cream

coconut milk and coconut cream both are nouns.

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

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

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

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