Preheat oven to 350F. Grease and flour a 9x13-inch baking pan.
Stir hot water and cocoa powder together in a small bowl. Set aside.
⅔ cup unsweetened cocoa powder, 1 cup hot water
Using an electric hand or stand mixer, beat the eggs, sugar, and vanilla in a large bowl on high speed until thick and very light yellow in color; about 5-6 minutes.