Nanofluids have lately emerged as leading alternatives or enhancements to conventional heat transfer fluids. Dispersed in a base liquid, the tri-hybridized nanofluid contains three types of nanomaterials with different chemical and physical properties. Real objects used in engineering contexts can be three-dimensional in form and have a changeable cross-section, as well as have surfaces that are inclined from a vertical angle. So, the present work aims to examine the effects of three differently shaped nanoparticles in a base fluid (water) flowing over a heated, rotating cone pointing vertically downward. Copper in the blade shape, titanium oxide in the cylindrical shape, and alumina in the platelet shape are used in the study. The flow is affected by a transverse magnetic field to the flow and thermal radiation. The heat transfer characteristics are also discussed with the heat source/sink phenomena and the boundary conditions with prescribed surface temperature or heat flux at the cone surface. The flow equations are solved numerically using the shooting approach after transforming them into ordinary differential equations using dimensional analysis. The results are plotted in the form of comparative graphs to examine the behaviour of fluid velocity and temperature with different parameters.