Is there a stronger profile than a cone ?

My previous post failed to address the OP’s question. This may not either, but maybe I can provide a little more information.

All materials have a limiting strength parameter. For ductile materials, such as most metals, it’s usually defined in terms of the yield strength. For brittle materials, such as concrete, it’s defined as a specified strain associated with crushing failure. The strength of a structure may be controlled by this material failure or by buckling of the member. The load capacity of shell structures, which is what the OP is concerned with, can be quite complex. One efficient configuration is a hemi-spherical dome on top of a cylinder. A number of commercial nuclear power plants use this configuration for their reactor containment buildings. The dome is a 3-D arch, which distributes loads into the cylinder and provides lateral support for the cylinder wall. Without the dome, the cylinder would need to be reinforced with a ring beam around the top. Look at any paper or plastic cup and you’ll see the top rolled back around the edge; Styrofoam cups are thickened around the top. Cut this edge (ring beam) off of the cup, and see how much it’s buckling strength is reduced.

why a cone? why not a cylinder? What the heck needs to be supported on a tiny spot?

you need to define your parameters/context

-purpose
-space needed in cavity
-cost limitations (related to complicatedness)
-complicatedness of shape
-maximum amount of material

The guy who brought up the complexity of shape was giving you a good start