Cutting elements for an earth-boring tool include a substrate base and a cutting tip. The cutting tip may include a first generally conical surface, a second, opposite generally conical surface, a first flank surface extending between the first and second generally conical surfaces, and a second, opposite flank surface. The cutting tip may include a central axis that is not co-linear with a longitudinal axis of the substrate base. The cutting tip may include a surface defining a longitudinal end thereof that is relatively more narrow in a central region thereof than in a radially outer region thereof. Earth-boring tools include a body and a plurality of such cutting elements attached thereto, at least one cutting element oriented to initially engage a formation with the first or second generally conical surface thereof. Methods of drilling a formation use such cutting elements and earth-boring tools.