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Preheat the oven to 350 F. Line a 12 cup muffin pan with black cupcake liners.
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In a large bowl, combine the sugar, flour, baking powder, baking soda, salt, and black cocoa powder.
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Add the egg, milk, oil, and vanilla. Beat on medium speed until combined, about 2 minutes.
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Stir in the boiling water. The batter will be thin and runny.
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Pour the batter into the prepared muffin pan, filling each cup about ⅔ full.
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Bake the cupcakes for 15 minutes or until a toothpick inserted into the center comes out clean.
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Cool the cupcakes in the pan for 10 minutes before transferring to a wire rack to cool completely.