Preheat oven to 350°F. Butter and flour a 10-cup Bundt pan.
Rub lemon zest into sugar until fragrant. Whisk in eggs until smooth.
Slowly whisk in olive oil, then yogurt, lemon juice, and vanilla.
In a separate bowl, whisk together flour, baking powder, baking soda, and salt.
Gently fold wet ingredients into dry ingredients until just combined.
Pour batter into prepared pan and bake for 45–55 minutes.
Cool 10–15 minutes, invert, dust with powdered sugar, and serve.