Question: "waste" used in the same way in the following two sentences?

Much of the waste material is carried off in the sewers.

The trackless wastes of the desert.
Answer: different meanings
Question: "snap" used in the same way in the following two sentences?

Snap a football.

The lock snapped shut.
Answer: different meanings
Question: "place" used in the same way in the following two sentences?

Do you want to come over to my place later?

A political system with no place for the less prominent groups.
Answer: different meanings
Question: "lead" used in the same way in the following two sentences?

We were just waiting for someone to take the lead.

He takes the lead in any group.
Answer:
the same meaning