Grease a 9" round cake pan with a little butter and line with parchment paper.
In a large bowl, combine the dry ingredients (flour, salt, and baking soda).
In a separate bowl, rub the lemon zest and sugar together between your fingers until evenly combined.
To the lemon sugar mixture, add in the wet ingredients- eggs, yogurt, olive oil, and vanilla extract.
Whisk the yogurt mixture until smooth and blended.
Add the flour mixture to the yogurt mixture and stir gently until just combined.
Pour the batter into the prepared cake pan and drop a few times on the counter to release any trapped air.
Hull and slice the strawberries in half.
Arrange the strawberries cut side down on top of the cake batter, making sure to pack them tightly as they will shrink in the oven.
Bake at 350F for 30-45 minutes until a toothpick inserted in the center of the cake comes out clean, with a few crumbs stuck to it.
Let the cake cool for 15 minutes before dusting with powdered sugar and cutting into slices.