Preheat the oven to 335ºF (168ºC) and prepare one 7-inch hemisphere-shaped cake pan or a 2-quart ovenproof bowl of equivalent size, with cake goop or another pan release. Measure out all of the ingredients using a digital kitchen scale. Pro-tip: You can mix the wet and dry ingredients separately for a finer texture, or just measure and add directly into the bowl of your stand mixer for fewer dishes.
In a large bowl, combine and mix together the buttermilk, butter, oil, eggs, and vanilla. The wet ingredients should all be slightly warm.
Combine the flour, sugar, salt, baking soda, and baking powder in the bowl of your stand mixer with the paddle attachment on low speed.
While the mixer is on low speed, pour the wet ingredients slowly into the dry ingredients.
Mix the batter on medium speed and mix for 1 minute until the batter is combined and looks like pancake batter. Scrape the sides of the bowl to make sure all of the ingredients are combined.
Pour cake batter into the dome cake pan and then fill 6 prepared muffin cups with the remaining batter.
Bake the cupcakes in the same oven as the cake, but set a time to remove them at 12-15 minutes.
Use an empty 6-inch cake pan as a stabilizer for your dome pan while it is baking. Bake the cake for 40-50 minutes, or until a toothpick inserted in the center comes out clean.
Allow the cake to cool for 10 minutes and flip it out onto a wire rack. Pro-tip: If you plan to frost and decorate the cake on the same day, you can place the cakes into the freezer unwrapped for about an hour or until they are cold (but not frozen). If you plan to decorate your cake at a later date, then you will wrap the cakes in plastic wrap first before freezing them.