Preheat oven to 350°F (175°C) and line two baking sheets with parchment paper.
In a large bowl, whisk together the eggs, vegetable oil, and vanilla extract until smooth.
Gently fold the dry strawberry cake mix into the wet ingredients until just combined. Do not overmix.
Cover and chill the dough in the refrigerator for 20 minutes.
Scoop 1-inch balls of dough and roll generously in powdered sugar.
Place on baking sheets and bake for 9-11 minutes. The centers should still look soft.
Allow cookies to cool on the baking sheet for 5 minutes before transferring to a wire rack.