Barefoot Contessa's Coconut Cake

INGREDIENTS

3/4 lb

unsalted butter, at room temperature, plus more for greasing the pans

2 cups

sugar

extra-large eggs, at room temperature

1 1/2 tsp

pure vanilla extract

1 1/2 tsp

pure almond extract

3 cups

all-purpose flour

1 tsp

baking powder

1/2 tsp

baking soda

1/2 tsp

kosher salt

1 cup

milk

4 oz

sweetened shredded coconut

1 lb

cream cheese, at room temperature

1/2 lb

unsalted butter, at room temperature

3/4 tsp

pure vanilla extract

1/4 tsp

pure almond extract

1 lb

confectioners' sugar, sifted

6 oz

sweetened shredded coconut