Optimal aspect ratio of a cylinder under internal pressure | pressku.com

I was trying to ideate an perfect cylindrical alloy nether soul pressure. Assuming it is simply a bladed walled unit vessel.

I.e. For storing a fixed Volume of contained fluid ( i.e. measurement of cylinder) astatine a known unit what would beryllium nan optimal facet ratio that minimizes nan magnitude of alloy ( aliases immoderate different worldly that nan cylinder is built from)

If I usage nan accustomed formulae for thickness of a alloy nether soul unit that's proportional to some P and diameter. If I do nan mathematics past nan measurement of alloy comes retired arsenic independent of nan facet ratio entirely.

In that lawsuit why are unit vessels mostly agelong and constrictive diameter? Of people nan thickness is so proportional to dia but nan d^2 word besides appears successful nan Volume contained equation.