While it is possible to rotate the unfolded segment of your apply around and you should learn to use the Rotate tool so you can do that, it would be easier to set up your model to make it easier when you get to that stage.
First, fix the axes. You've got them balled up. Right click on the origin and choose Reset.
I then moved your apple to be centered over the origin and rotated the hole thing about the center (origin) so a side crosses the green axis and another crosses the red.
Screenshot - 6_1_2015 , 6_10_17 PM.png
Then I selected one segment of the apple and copied it to the right. Notice I copied the segment that crosses the green axis. For this example I made another copy to unfold although I wouldn't do that for myself. That unfolded version is sloped up at an angle matching the top inside face (next to the core)
For the third, rotated copy, I selected all of the flattened geometry, got the Rotate Tool and rotated it down to parallel with the green axis. To get the orientation of the Rotate Tool to be correct, I positioned the cursor on the horizontal edge at the near end of the shape, clicked and held the left mouse button and dragged the cursor along the edge a bit. Then I released and ran the Rotate tool as normal.
apple final.png