A spherical tank for storing liquid oxygen is to be made from stainless steel of \(0.75-\mathrm{m}\) outer diameter and \(6-\mathrm{mm}\) wall thickness. The boiling point and latent heat of vaporization of liquid oxygen are \(90 \mathrm{~K}\) and \(213 \mathrm{~kJ} / \mathrm{kg}\), respectively. The tank is to be installed in a large compartment whose temperature is to be maintained at 240 K. Design a thermal insulation system that will maintain oxygen losses due to boiling below \(1 \mathrm{~kg} / \mathrm{day}\).