2 sticks unsalted butter, at room temperature, plus more for the pans
3 cups all-purpose flour, plus more for the pans
1 tablespoon baking powder
1/2 teaspoon salt
1 1/4 cups sugar
4 large eggs, at room temperature
1 tablespoon vanilla extract
1 1/4 cups whole milk (or 3/4 cup heavy cream mixed with 1/2 cup water)