Prepare Strawberries: Bring strawberries close to room temperature. This helps to keep them away from excess moisture. Rinse them and wipe dry with a clean kitchen towel. Remove the stems, cut each strawberry vertically into 2.
Prepare the pan: Grease a 7 or 8 inch cake tray. You can also use a 8.5 by 4.5 inch loaf pan. Dust flour lightly or line a parchment paper. Preheat the oven to 360 F - 180 C for at least 15 mins.
Make the batter: Add milk, sugar, vinegar, melted butter and vanilla to a mixing bowl. Stir together until the sugar dissolves. Place a sieve over the bowl and add flour, baking powder, baking soda and salt.
Mix everything lightly with a spoon. Sieve half of the floor to the mixing bowl. Gently mix with a whish or a spatula just until combined. Sieve the rest of the flour and mix through to make a lump-free batter. Do not over mix.
Transfer the batter to pan: Pour the batter to the cake pan. Tap the cake tray to kitchen counter twice. Begin to place the sliced strawberries on top. Keep them as close as possible, avoiding the edges. Sprinkle sugar all over the berries.
Bake the Cake: Bake at 360 F - 180 C for 15 mins. Later at 340 F - 170 C for 20 mins, if baking in a 7 inch tray.
You can adjust the timings to get a moist or crusty cake top. For moist top check after 30 mins. For crusty cake top, bake for 40 mins. In either cases, a tester/ skewer inserted comes out clean but moist from strawberries.
Cool the cake in the pan placed over a wired rack for 10 mins. Gently remove to the wire rack and cool completely before slicing. Dust with powdered sugar just before serving.
Slice the eggless strawberry cake after cooling completely. A strawberry syrup is great on this.