Coconut-Buttermilk Pound Cake

INGREDIENTS

• 1 1/2 sticks unsalted butter, room temperature, plus more for pan
• 2 cups all-purpose flour (spooned and leveled), plus more for pan
• 1 1/2 teaspoons baking powder
• 1/2 teaspoon fine salt
• 1 cup granulated sugar
• 1 teaspoon pure vanilla extract
• 3 large eggs
• 1 cup plus 2 tablespoons buttermilk, divided
• 1 1/2 cups sweetened shredded coconut, toasted, divided
• 1 cup confectioners' sugar