Add warm water to a large mixing bowl with sugar, yeast and olive oil. Mix well.
Stir in 4 cups of flour with the kosher salt using a dough whisk or wooden spoon.
Add flour 1/2 cup at a time, mixing until dough forms a ball and pulls away from the bowl.
Lightly flour a clean surface and pour the dough out.
Knead for 3- 5 minutes until dough is smooth and not sticky.
Drizzle a large, clean bowl with olive oil. Place dough and turn to coat. Cover with plastic wrap and place in a warm place and let the dough rise about an hour or until doubled in size.
Punch dough down in the bowl, folding over a few times to remove the air bubbles.
Lightly flour a clean surface and divide the bread dough in half and then each half into 3 equal pieces using a bench knife.
Line a rimmed baking sheet with parchment paper.
Roll each piece of dough into a ball, tucking under the edges on the bottom. Place on the lined baking sheet and slightly flatten the top. Leave several inches between each dough ball.
Cover with a damp tea towel and place in a warm place rise, 30 minutes to 1 hour.
Melt butter and brush over dough while the oven preheats to 350°.
Bake bread bowls for 18-20 minutes. Turn the oven onto broil and watch carefully, cooking until bread bowls are golden brown.
Remove from oven and brush with melted butter.
Move to a wire rack to cool.
Slice about 1/4 inch thick slice off of the top of each bread bowl using a serrated knife.
Remove the insides of the bread bowls and save for another use, like croutons or breadcrumbs, storing in an airtight container. Be sure to leave at least 1/4 inch of the bread in the interior of the bread bowls so that you don't have holes in the sides or bottoms.
Spoon hot soup into bread bowls just before serving.