Preheat the oven to 375 degrees. Lightly butter a baking sheet. Sift the flour, ¼ cup of the sugar, and the baking powder into a bowl. Add the butter pieces. Using your fingertips, work the butter quickly and lightly into the flour until the mixture is the consistency of very fine bread crumbs or sand. Add the cream and egg yolks and stir with a fork until the dough just holds together.
Turn the dough out onto a floured work surface and knead briefly, just until it forms a smooth dough. Do not overwork. Pat or roll out the dough to a thickness of ¾ inch. Using a floured 2 ½ or 3 inch cookie cutter, cut out 4 rounds of dough. Gather up the dough scraps, re-roll and cut out 2 more rounds. Put the rounds on the prepared baking sheet. Brush with the melted butter and sprinkle with the remaining 1 tablespoon sugar. Bake on the middle rack of the oven for 12 to 15 minutes, until the biscuits are golden brown and firm to the touch.
Meanwhile, put the strawberries in a bowl and toss them with the sugar. In a medium bowl, whip the cream until soft peaks form. Cover and refrigerate. Transfer the biscuits to a rack and let cool for 2 to 3 minutes. Carefully split the biscuits in half and set the tops aside. Place the bottoms on dessert plates and heap the strawberries onto them. Generously spoon whipped cream over the strawberries, and replace the biscuit tops. Serve immediately, with any remaining whipped cream on the side.