Conically-shaped earpieces with flexible covers for a stethoscope are described, which sit on the outside of the users ears and are particularly useful for users with hearing aids. A stethoscope structure with conically-shaped earpieces is also disclosed. The stethoscope structure has a branched elongated tube, ear tubes, a connector, a chest piece, at least one conically-shaped earpiece, and flexible cover for each earpiece.