1. Preheat your oven to 350°F (175°C). Grease and line an 8-inch round cake pan.
2. In a large bowl, whisk together flour, sugar, cocoa powder, baking powder, baking soda, and salt.
3. In another bowl, mix vegetable oil, buttermilk, egg, vanilla extract, red food coloring, and vinegar until smooth.
4. Combine the wet ingredients with the dry ingredients and mix until just combined. Pour the batter into the prepared cake pan and bake for 25-30 minutes, or until a toothpick comes out clean. Let it cool completely.
For the Cheesecake:
1. In a large bowl, beat the softened cream cheese and sugar until smooth.
2. Add the eggs one at a time, beating after each addition. Stir in the vanilla extract.
3. Pour the cheesecake mixture into a greased 8-inch springform pan. Bake at 325°F (160°C) for 40-45 minutes, until set. Let it cool, then refrigerate for at least 2 hours.
Assembly:
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