Preheat oven to 350°.
Cook carrot in boiling water 15 minutes or until very tender; drain. Place carrot in a food processor; process until smooth. Add granulated sugar and next 7 ingredients (granulated sugar through eggs); pulse to combine.
Spoon mixture into a 2-quart baking dish coated with cooking spray. Bake at 350° for 40 minutes or until puffed and set. Sprinkle with powdered sugar.