In a large mixing bowl, combine the warm water, active dry yeast, and 1 tablespoon of the sugar. Let it sit for about 5-10 minutes, until it becomes frothy.
In another bowl, whisk together the salt and 4 cups of flour.
Once the yeast mixture is frothy, add the melted butter and the remaining sugar. Gradually stir in the flour mixture until the dough starts to come together.
Transfer the dough to a floured surface and knead for about 8-10 minutes until smooth and elastic.
Place the dough in a greased bowl, cover it with a kitchen towel, and let it rise until it doubles in size, about 1-2 hours.
Once risen, punch down the dough and divide it into 8-10 equal pieces. Shape each into a round ball and place them on a greased baking sheet.
Cover the shaped dough balls and let them rise again for 30-45 minutes.
Preheat your oven to 375°F (190°C).
Mix the egg white with the milk and brush over each dough ball. Bake for 20-25 minutes until golden brown.
Let them cool slightly before cutting out the tops and hollowing out the insides.