I used a 10 inch cast iron skillet to cook the rice.
Saute one tablespoon butter with 1 cup rice for 1 minute until the rice is all coated and almost getting a white to golden color.
Add 2 cups of water and salt and stir.
Cover and cook for 20 minutes.
Remove from burner and let stand 5 minutes (do not remove lid)
After the 5 minutes, remove the lid and stir milk and the remaining tablespoon of butter into the rice and then add in the cheese, reserving a tablespoon or two for the top.