Sphere Surface Area

This GeoGebra construction is inspired by the many graphics on the internet that use citrus fruits to demonstrate the formula for the surface area of a sphere. The discerning Math aficionado should question how me may be assured that the surface area is preserved during the "morphing" stage.[br][br]The graphic below is from [url=https://mammothmemory.net/maths/geometry/circumference-area-and-volume/surface-area-of-a-sphere.html]this Mammothmemory.net page[/url].
On a related note, a calculus connection may be formed between the volume and surface area of a 3D sphere. Similarly, this [url=https://www.geogebra.org/m/fp27fztp]other GeoGebra construction[/url] demonstrates a calculus connection between the area and circumference of a 2D circle.

Information: Sphere Surface Area