An inbred sunflower line, designated PH5015R, the plants, plant parts and seeds of inbred sunflower line PH5015R are provided. A sunflower plant, such as an inbred or hybrid, can be produced by crossing the inbred sunflower line PH5015R with itself or with another sunflower plant. Inbred and hybrid sunflower seeds and plants produced by crossing the inbred line PH5015R with another sunflower line or plants are provided. Methods for producing a sunflower plant such as inbred line PH5015R containing in its genetic material one or more transgenes and to the transgenic sunflower plants produced by that method are also disclosed. Inbred sunflower lines derived from the inbred sunflower line PH5015R, methods for producing other inbred sunflower lines derived from inbred sunflower line PH5015R, and the inbred sunflower lines derived by the use of those methods are further described.