Begin by heating your oven to 350°. While the oven is heating, put the raisins, water, and almond extract in a microwave-safe bowl and give a good mix. Then microwave, uncovered, for about 1 1/2 minutes. Allow the mixture to stand for 5 minutes before draining the excess liquid. Next, add the apples, 1/3 c. sugar, flour, and cinnamon and mix until combined.
Then in a small bowl, mix the melted butter and oil. Next, place one sheet of phyllo dough on a floured work surface and brush it with the butter mixture. Continue this process with the remaining sheets of phyllo dough until done. Then spread the apple mixture to within two inches of one long side.
Next, fold the short edges over the filling. Continue to roll, jelly-roll style, starting from the 2-inch border side. Brush liberally with the remaining butter mixture and then transfer to a greased baking sheet. Before baking, sprinkle with 3 Tbsp. sugar and use a sharp knife to cut diagonal slits in the top of the strudel.
Bake the strudel until golden brown, which should take about 35-40 minutes. When the strudel is done, remove from the oven and allow to cool on a wire rack. Dust with powdered sugar before serving.