A lot of people use these incorrectly in casual speech. Because is a conjunction that means "for the reason of". Cause is a noun meaning "the reason something happened" or a verb meaning "to make happen". The important thing to remember here is that because is a conjunction, which means it is used as a connector between words, and cause is a noun or verb.
So you can say "I do ____ because ______."
If you say "I do ______ cause ____." It is NOT correct
Cause can be used to say, for example, "The cause of my sickness was the cold weather."
or "Cold weather caused my sickness."
Because may be used to say "I got sick because of the cold weather."