Preheat the oven to 350 degrees. Grease and flour three 8x2 inch round pans or two 9x2 inch rounds.
In a medium size bowl, add the flour, sifted cocoa powder, baking soda, baking powder and salt. Whisk at least 30 seconds to blend, set aside.
In another bowl, add the milk, oil and vanilla. Set aside.
In the bowl of your mixer, beat the butter on medium speed until light and creamy. Gradually add the sugar and mix until light and fluffy, approximately 4 to 5 minutes.
Add the eggs 1 at a time, mixing after each egg just until the yellow of the yolk disappears. Scrape down the sides and bottom of the bowl as needed.
Mixing on medium speed, alternately add the flour mixture and milk mixture to the sugar mixture, beginning and ending with the flour mixture. (3 additions of dry ingredients and 2 additions of wet)
Add the cup of prepared (hot) hot chocolate at this time. The batter will be very thin. Don't worry this is how it should be.
Pour into 3 prepared pans. Bake at 350 for 25 to 30 minutes or until a toothpick inserted into the center comes out clean or with just a few crumbs attached.