These doughnuts are suprisingly delicious without the cutting out chore!
Put both pointer fingers through center of each roll and stretch to form a large hole. Place doughnuts on sprayed baking sheet. Cover with sprayed plastic wrap. Let double in size (about two hours).
Pour oil 2 inches deep into a small sauce pan or an electric frying pan and heat to medium high setting or 375° F. Fry doughnuts on each side until golden brown (about 15 seconds each side). Remove and place on paper towel. With a fork, drop doughnut into glaze and coat on both sides, Place on waxed paper. For chocolate doughnuts, drop into icing and coat on one side only.
Glaze: Stir together water and powdered sugar.
Chocolate Icing: Bring butter, milk and cocoa to a boil. Remove from heat, stir in vanilla and powdered sugar.