Preheat the Oven:
Set oven to 350°F (175°C). Grease and flour an 8-inch round cake pan or springform pan.
Prepare the Apples:
Peel, core, and cut apples into 1/2-inch chunks. Set aside.
Mix Dry Ingredients:
In a medium bowl, whisk together flour, baking powder, and salt.
Mix Wet Ingredients:
In a large bowl, whisk eggs and sugar until pale and fluffy. Add vanilla and melted butter, whisking until combined.
Combine Batter:
Stir half the dry ingredients into the wet mixture. Add milk, then the remaining dry ingredients. Mix until just combined.
Add Apples:
Fold apples into the batter until evenly distributed.
Bake:
Pour batter into the prepared pan and smooth the top.
Bake for 40–50 minutes, or until a toothpick inserted into the center comes out clean.
Cool & Serve:
Cool in the pan for 10 minutes before transferring to a wire rack. Dust with powdered sugar before serving, if desired.