IPA: /ˌɪnɪɡˈzɔːstəbl/
KK: /ɪnɪgˈzɔstəbl/
Something that cannot be used up or exhausted; it continues endlessly without tiring or running out.
Her enthusiasm for helping others seemed inexhaustible, as she volunteered every weekend without fail.
Inexhaustible → It is formed from "in-" (meaning not) and "exhaustus" (from Latin "exhaurire", meaning to draw out or drain). The word describes something that cannot be drained or used up.
Think of something that is 'not' ('in-') able to be 'drained' ('exhaustus') — that's why inexhaustible means it cannot be used up.