Preheat the oven to 350 degrees F. Thoroughly grease a bundt pan with butter and set aside.
Add the cake mix to a large bowl and beat in the eggs, oil and 1/4 cup water with an electric hand mixer until smooth. Stir in the melted ice cream with a wooden spoon. Pour the batter into the prepared pan and bake until a toothpick inserted comes out clean, 40 to 45 minutes.