pill vs dosage

pill and dosage both are nouns.

Word	Noun	Adjective	Verb	Adverb
pill	Yes	No	No	No
dosage	Yes	No	No	No

As nouns, dosage is a hypernym of pill; that is, dosage is a word with a broader meaning than pill:

Other hypernyms of pill include dose.

pill (noun)	dosage (noun)
a dose of medicine in the form of a small pellet	a measured portion of medicine taken at any one time
something that resembles a tablet of medicine in shape or size	the quantity of an active agent (substance or radiation) taken in or absorbed at any one time
a contraceptive in the form of a pill containing estrogen and progestin to inhibit ovulation and so prevent conception
something unpleasant or offensive that must be tolerated or endured
a unpleasant or tiresome person