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In the bowl of a stand mixer, dissolve the yeast in the warm milk and let stand until foamy, about 10 minutes.
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Add the granulated sugar, eggs, flour, and salt. Attach the dough hook and knead on low speed, adding a little more flour if needed, until all your ingredients come together. Toss in the butter and continue to knead until the dough is smooth and springy, about 7 minutes.
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Lightly oil a large bowl. Form the dough into a ball, put it in the bowl, and cover the bowl with plastic wrap. Let the dough rise at room temperature until it is doubled in size, 1-1/2 to 2 hours.
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While the dough is rising butter the pans, we used an 8-inch, 6-inch, and 4-inch round cake pans for the stacked cake and an 8-inch for the single layer cake.