The magnetic behavior of spherical and hemispherical lattices under various conditions was insufficiently understood prior to this study, particularly about the influence of ferrimagnetic coupling parameters, external magnetic and crystal fields on the compensation and blocking temperatures. In current study Monte Carlo simulations provide new insight into how these factors affect the magnetic properties of spherical and hemispherical lattices, revealing critical size-related effects and dependencies. This study offers key insights into the magnetic properties of spherical and hemispherical lattices, critical for advancing magnetic materials in future nanotechnologies. The ferrimagnetic system studied, hold promise for applications such as MRI, cancer therapy, and next-generation memories, enhancing nanoscale sensor precision and driving progress in data storage and device miniaturization.