Q: Does the word "read" mean the same thing in "She read my mind and promptly rose to get me a glass of water." and "I read this address as a satire."?

A: the same meaning

Q: Does the word "draw" mean the same thing in "Draw steel." and "Draw a line."?

A: different meanings

Q: Does the word "piece" mean the same thing in "It was a nice piece of work." and "It is down the road a piece."?

A: different meanings

Q: Does the word "heat" mean the same thing in "Heat the water on the stove." and "The sun heats the oceans."?

A:
the same meaning