Question: Here is one sentence: Roll out the paper.
Here is another sentence: The pastry rolls well.
Does the roll mean the same thing in the two sentences?

Answer: the same meaning

Question: Here is one sentence: Cut a check.
Here is another sentence: Cut the rope.
Does the cut mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: The people slowly progressed from barbarism to civilization.
Here is another sentence: He is remembered for his generosity and civilization.
Does the civilization mean the same thing in the two sentences?

Answer: different meanings

Question: Here is one sentence: Dew dripped from the face of the leaf.
Here is another sentence: Put a big sign on each face of the building that can be seen from the road.
Does the face mean the same thing in the two sentences?

Answer:
the same meaning