1. The problem statement, all variables and given/known data This is more of a question that doesn't require formulas as much as common sense. The question goes,"If you have a ring that is heated up, would the hole in the middle get smaller or larger." 2. Relevant equations N/A 3. The attempt at a solution I know that when objects are heated the object undergoes expansion. What I also know is expansion in our universe isn't just in one direction. My physics professor said that the hole would get larger. But if the ring expands, it will expand in all directions, including towards the hole. Which means the hole would get smaller. I do not understand this question, it seems to be counter-intuitive.