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Preheat oven to 325u00b0. Line bottom of a 9-in. springform pan with parchment paper; grease paper.
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In a large bowl, beat cream cheese and sugar until smooth. Beat in sour cream, flour and vanilla. Add eggs; beat on low speed just until blended. Pour into prepared pan. Place on a
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.
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Bake until center is set, 40-50 minutes. Cool on a wire rack 10 minutes. Loosen sides from pan with a knife. Cool 1 hour longer. Refrigerate until ready to assemble, covering when completely cooled.
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For cake, increase oven setting to 350u00b0. Line bottoms of two greased 9-in. round baking pans with parchment paper; grease paper.
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In a large bowl, beat sugar, oil, buttermilk, eggs, food coloring, vinegar and vanilla until well blended. In another bowl, whisk flour, cocoa, baking soda and salt; gradually beat into sugar mixture.
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Transfer to prepared pans. Bake until a toothpick inserted in center comes out clean, 30-35 minutes. Cool in pans 10 minutes before removing to wire racks; remove paper. Cool completely.
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For frosting, in a large bowl, beat cream cheese, butter and vanilla until smooth. Gradually beat in enough confectioners' sugar to reach desired consistency. Place one cake layer on a serving plate. Spread with 1 cup frosting. Carefully place cheesecake over frosting.
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Spread cheesecake with another 1 cup frosting. Top with remaining cake layer. Frost top and sides of cake with remaining frosting. Refrigerate overnight before serving.