Preheat your oven to 350°F (175°C).
Grease and flour a 9-inch round cake pan.
In a large bowl, whisk together yogurt, sugar, and eggs until smooth.
Add the vegetable oil and mix until well combined.
In another bowl, mix flour, baking powder, and salt.
Gradually add the dry ingredients to the wet mixture, stirring gently.
Incorporate vanilla extract and lemon zest.
Pour the batter into the prepared cake pan.
Bake for 30-35 minutes or until a toothpick comes out clean.
Let the cake cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.