Preheat oven to 350°F and line 2 baking sheets with parchment.

In a large bowl, beat together the eggs, sugar, extract and baking powder.

Add vegetable oil and milk, then the flour, one cup at a time, blending well after each addition.

Pinch off walnut-sized pieces of dough and roll smooth between your palms. Flour your hands if the dough is too sticky.

Arrange the balls of dough 2 inches apart on prepared baking sheets.

Bake 10 to 12 minutes, or until bottoms of the cookies are a light golden brown. The tops will still be pale.

Remove from oven, then transfer to a wire rack to cool.

Glaze:

Combine glaze ingredients in a bowl until just smooth. You want it more thick than thin, but still runny.

Dip the tops of the cooled cookies into the glaze, then return them to the wire rack, allowing the glaze to drip down the sides of every cookie.

Top with sprinkles.