Archimedes's Sphere Slices

Archimedes proved that if you slice a sphere of radius r with two planes a distance h apart, the surface area is 2πrh—the same as a cylinder of the same radius and height. So, the surface area doesn't depend on where on the sphere the slicing occurs.

These 3D objects are seven slices of a hollow sphere, all of the same height. To get the full sphere, print two copies of each slice except the one that goes around the equator. It is essential that you print with 100% fill. If you do, they will all weigh the same amount.
There is also a stand you can print that will hold the shapes.

Mathematical note: The sphere was not sliced by planes. Because the walls have some thickness, the inner diameter is slightly smaller than the outer diameter. So, the sphere was sliced along cones through the origin.

Thank you to Colm Mulcahy for suggesting this project.