Adjust oven rack to the lower-middle position. Preheat oven to 350℉. Grease two 8-inch round cake pans. Line the bottoms with parchment paper and set aside.
In a medium bowl, whisk together the cake flour, all purpose flour, baking powder and salt. Set aside.
In a microwave-safe bowl, heat the milk and butter on 50% power level until melted. Stir and cover to keep warm.
Separate 3 of the eggs. Place the egg whites in the clean bowl of a stand mixer. Save the yolks and place them in a bowl with the 2 remaining eggs. With the whisk attachment, beat the egg whites on medium-low speed until foamy, then increase the speed to high. Slowly add 6 Tablespoons of sugar with the mixer running. Continue whipping the egg whites and sugar until medium soft peaks form (do not over-beat). Use a rubber spatula to gently transfer the whipped egg whites to a separate bowl.
In the bowl of the stand mixer, add the egg yolks, remaining two eggs and remaining 6 Tablespoons of sugar. Beat on medium-high speed until thick and pale yellow, about 5 minutes.
Gently transfer the egg mixture to the egg white mixture. Sprinkle the flour mixture over the egg mixture, then use the rubber spatula to fold the mixture together (about 12 strokes). It’s okay if a few streaks of egg white or pockets of flour remain.
Make a well in the batter and add the warm melted butter and milk as well as the vanilla. Use the rubber spatula to fold the wet ingredients into the batter until all the ingredients are evenly mixed (about 8 more strokes).
Divide the batter between the two prepared pans. Bake at 350℉ for 18 to 20 minutes or until the tops are golden brown and spring back when gently touched.
Immediately run a butter knife around the edges of the pans. Place one pan on a towel, then place a plate on top. Invert the cake onto the plate (the towel will protect your hands from the hot pan). Remove the pan and the parchment paper. Reinvert the cake on a wire rack to cool. Repeat with the second cake.
Filling
Place a metal mixing bowl in the freezer for 10 to 15 minutes. Getting the bowl cold will keep the ingredients cold while mixing.
Place bowl back on to the stand mixer (or use a hand mixer). Add heavy cream, sugar and vanilla to the bowl.
Turn the mixer on low speed for 10 to 20 seconds for ingredients to combine, then increase the speed to medium high. Whip for about 1 1/2 to 2 minutes or until the whisk is leaving a trail in the whipped cream and medium stiff peaks form.
Assembly
If the cakes domed while baking, use a serrated knife to cut the domed part off the top.
Transfer ⅓ of the whipped cream to the top of one cake. Add a layer of strawberries, then spread another ⅓ of the whipped cream on top.
Add the second cake on top (cut side down). Spread remaining whipped cream on top. If desired, some whipped cream can be put into a piping bag and swirls of whipped cream can be piped along the edge of the cake (leave the sides bare). Garnish with strawberries. Slice and serve.
Notes
All purpose flour and cake flour achieve the perfect texture that is light, yet has enough structure to hold the filling. If you don't have cake flour, measure 1/2 cup all purpose flour, remove 1 tablespoon flour and replace it with cornstarch.Measure flour properly with a kitchen scale or using the spoon and level method. Too much flour can result in a dense, dry cake.Store leftover cake for up to 2 days in the fridge. Cover lightly with plastic wrap or in an airtight container.