business vs activity

business and activity both are nouns.

Word	Noun	Adjective	Verb	Adverb
business	Yes	No	No	No
activity	Yes	No	No	No

As nouns, activity is a hypernym of business; that is, activity is a word with a broader meaning than business:

business (noun)	activity (noun)
the principal activity in your life that you do to earn money	any specific behavior
the activity of providing goods and services involving financial and commercial and industrial aspects	the trait of being active; moving or acting rapidly and energetically
the volume of commercial activity	an organic process that takes place in the body
incidental activity performed by an actor for dramatic effect	a process existing in or produced by nature (rather than by the intent of human beings)
an immediate objective	the state of being active
a rightful concern or responsibility	(chemistry) the capacity of a substance to take part in a chemical reaction
a commercial or industrial enterprise and the people who constitute it
customers collectively
business concerns collectively