How do you split a thick tube with a surface sphere so the end of the thick tube contours exactly to the inner surface of the sphere? When I use split on a thick tube either built by padding two circles or a single circle extruded with specific thickness (prior to splitting), the cut piece does not disappear (guessing something is unresolved). The closest I have come to solving this is to split an extruded circle with a sphere and then use "thickness" command to create the thick tube. The problem with this solution is when you show the sphere, the thick tube extrudes past the sphere half-way around the inner circle (to the center of the thickness of the tube circle) of the top portion of thick tube end near the sphere (i.e., end of tube does not contour to the inner-surface of the sphere).