A pressurized thin-walled spherical shell under the conditions of double-sided uniform corrosion is considered. The rates of corrosion are supposed to dependent linearly on the effective stress. Previous solutions for thin shells obtained by other authors reflect only the effect of differential pressure (i.e., the difference between internal and external pressure). The model proposed here allows to include also the effect of hydrostatic pressure on the durability of the shell under the corrosion conditions.