Apple Geometry

Herbert does not like it, when I'm disappointed. Obviously, yesterday's apple had been picked a week ago. Laying around does benefit this cultivar. So this morning, Herbert brought me a freshly picked specimen of his apples. I'm pleased to tell that the flavour and texture were much better.

The apple was huge (height: 80 mm, diameter: 79 mm). Usually apples loose flavour with dimension, because the major part of it is right under the skin. An apple is, roughly speaking, a ball-shaped object.

Volume of a ball:

Surface of a ball:

If we increase the dimension of a ball or apple, the surface growths with a much smaller rate than the volume. Hence, dimension does not benefit flavour - generally speaking.