This study investigates strain rates in internally pressurized rotating cylinders with varying density, using Norton's law to analyze the effects of anisotropy and the creep law exponent n. The research is significant for optimizing the design and durability of such cylinders in engineering applications. A detailed analysis revealed distinct strain rate patterns among anisotropic materials Types I and II exhibited lower circumferential strain rates compared to isotropic Type III materials, while Types I and III showed reduced axial strain rates relative to isotropic Type II materials. These findings suggest that anisotropic Types I and II materials offer superior stress‐related performance, enhancing the durability of cylinders under pressure and rotation. The study's novelty lies in its comprehensive examination of anisotropy's influence on strain rates, extending beyond prior work by demonstrating how specific anisotropic materials outperform isotropic ones in reducing deformation and improving structural resilience.