Pour your milk into a microwave safe container. Add your butter to the milk and put it in the microwave for 1 1/2 minutes.
Preheat your oven to 170 degrees. While the milk is getting warm, turn on the tap to get your hot water. Temperature is important to making these rolls rise quickly. If you add cold water, your rolls are going to rise to slowly. I put my hand in the water to test it. You want it to be just on the edge of unpleasant.
Put your milk/butter and hot water in the bottom of your Kitchen Aid Mixer. See my tip below for an even easier way of mixing the dough. Add the sugar and salt. Then add 2 cups of the flour. Let mix for 1 minute.
Add the yeast. Turn the mixer on and add the rest of the flour 1 cup at a time.
You have enough flour when the dough scrapes the side of the bowl clean. Mix on medium speed for 5 minutes.
Cover with plastic wrap and let sit for 5 minutes. You need the plastic wrap to trap the heat.
Coat the inside of a 9x13 pan with butter.
Spray your counter, or a cutting board with cooking spray. Lay your dough on top of it.
Take a sharp knife, spray it with cooking spray and cut your dough into 12 pieces. Make them as equal as you can....perfection is not necessary.
Gently round them into balls, and put them in your buttered 9x13 pan.
Put the pan into your warm 170 degree oven. Let them rise for about 20 minutes or until they have risen about 1 inch above the rim of the pan.
Leave your pan in the oven and turn the heat up to 350 degrees. Bake for 15 minutes. This time includes the time it takes the oven to increase in temperature. If your oven takes a long old time....you will of course need to increase the time baking. Bake until golden brown.
Brush with a little softened butter and serve warm.
*For an even easier way to mix these rolls up, pour the milk, water, sugar and yeast into a bread machine. Let it proof for 10 minutes. Add the butter, salt and flour and set it to the dough cycle. When it reaches it's first rest cycle, usually 20 minutes, let the dough rest in the machine with the lid closed for 5 minutes, then proceed with the rest of the recipe. Easy peasy! :)