vasectomy vs cutting out

vasectomy and cutting out both are nouns.

Word	Noun	Adjective	Verb	Adverb
vasectomy	Yes	No	No	No
cutting out	Yes	No	No	No

As nouns, cutting out is a hypernym of vasectomy; that is, cutting out is a word with a broader meaning than vasectomy:

vasectomy: surgical procedure that removes all or part of the vas deferens (usually as a means of sterilization); is sometimes reversible
cutting out: surgical removal of a body part or tissue

Other hypernyms of vasectomy include ablation, excision, extirpation, surgical contraception.

vasectomy (noun)	cutting out (noun)
surgical procedure that removes all or part of the vas deferens (usually as a means of sterilization); is sometimes reversible	surgical removal of a body part or tissue