Preheat the oven to 350 degrees F (175 degrees C).Coat 3 (8-inch) round cake pans with baking spray with flour.Line the bottom of each cake pan with a piece of parchment paper cut to fit the bottom.
In the bowl of a stand mixer fitted with a paddle attachment, beat white sugar and butter at medium speed until light and fluffy, about 4 minutes.
Add eggs one at a time, beating on low speed until combined.
In a separate bowl, whisk together flour, baking powder, and salt.
Add the flour mixture to the butter mixture in 3 additions, alternating with milk, beginning and ending with flour mixture.
Beat on low speed until blended after each addition.Beat in vanilla extract and sprinkles on low speed, about 20 seconds.Divide batter evenly among prepared pans (about 2 cups per pan).