The Answer: It depends!

Why It Depends:

* Thermal Expansion: When you heat a metal ball, it expands in size. This is because the atoms within the metal vibrate more vigorously, pushing each other further apart.

* The Ring's Size: If the ring is made of the same metal as the ball, both will expand at the same rate. So, even though the ball gets bigger, it will still be able to pass through the ring.

* Different Metals: If the ring is made of a different metal, the ball and ring might expand at different rates.

* If the ball expands more: It won't fit through the ring.

* If the ring expands more: The ball might fit through the ring, but it would be very tight!

The Trick:

The key is that the ball will expand in all directions, increasing its diameter, but the ring will only expand in its circumference. This means the hole in the ring will get bigger, but the ring's thickness will stay the same.

In Conclusion:

To know for sure if the ball can pass through the ring after heating, you need to know:

* The materials of the ball and ring.

* The original size difference between the ball and the ring.

Let me know if you have more details, and I can help you figure out if the ball will fit!