Chocolate Coconut Cake

Ingredients

CAKE

* One 7-ounce bag sweetened shredded coconut (2 cups), finely chopped
* 1/2 cup sweetened condensed milk
* 1 large egg white
* 2 cups all-purpose flour
* 1/2 cup unsweetened cocoa powder
* 2 teaspoons baking powder
* Scant 1/2 teaspoon baking soda
* Scant 1/2 teaspoon salt
* 1 1/2 sticks (6 ounces) unsalted
* butter, softened
* 1 cup plus 2 tablespoons sugar
* 3 large eggs
* 3 ounces bittersweet or semisweet chocolate, melted and cooled
* 2 1/4 teaspoons pure vanilla extract
* 1 1/2 cups plain nonfat yogurt

GLAZE

* 1/2 cup sugar
* 1/4 cup water
* 1 tablespoon unsweetened cocoa powder
* 1/2 teaspoon pure vanilla extract