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Blender 2.8.x / 2.9.x
Get it here: https://builder.blender.org/download
HardOps
BoxCutter
Get it here: https://blendermarket.com or https://gumroad.com
SphericalV1_001.blend
SphericalV1_002.blend
Cube
Subdiv (CTRL 4)
Spherecast
Cube (overlaps sphere)
Boolean > Inset / Outset
F9 > adjust thickness
F9 > tick “Inset Slice” to make it a slice
Put a Solidify before the Inset Slice to make the Spherecast hollow. This results in an airgap between the main sphere and the Inset Slice.
Cube (overlaps sphere)
Boolean > Difference to decap front of sphere.