James Repetski wrote:
This is a dumb question, but if you put in a cathedral ceiling in a
room would it require more heat in the winter to keep the room warm?

It depends - while heat loss is a function of room volume (among other
things), the slope of the ceiling doesn't matter. So if you compare two
rooms of equal volume - one with 11' ceilings against a room with a
linear 8' to 14' cathedral ceiling for example, the heat loss will be
the same.