A single-use grinding tool includes a wheel portion having a profiled recess (e.g., such as a U, V, or bowl shape) extending circumferentially along the wheel portion's periphery. A multi-layered bonded abrasive (e.g., 3-dimensional matrix of abrasive grains and bond material, or multiple layers of abrasive tape) is conformably coated or otherwise applied in a uniform thickness along the profiled recess. The bonded abrasive in one particular case includes a metal bond with diamonds. However, organic, resinous, vitrified, and hybrid bonds, as well as other abrasive grit types, can be used. The wheel portion is supported by an arbor portion which may be removably coupled to the wheel portion, or formed integrally with the wheel portion. The tool is useful, for example, in edge grinding a workpiece, such as sheet glass. Methods of tool use and tool manufacture are disclosed as well.