Clinically, dynamic monitoring of bladder volume is of great significance for patients with bladder diseases. This paper proposes a method for the continuous monitoring of bladder volume by 3D electrical impedance tomography (EIT). To facilitate convenient installation and maintenance for patients, a single-layer half-circle EIT sensor is proposed and designed to be attached at the top of full bladder for 3D imaging, based on fringe field sensing. By incorporating the simple prior knowledge of the approximate position and maximum extension region of a full bladder in abdomen, a dedicated sparse representation algorithm was proposed to alleviate the ill-posedness of 3D reconstruction and improve the image quality. Bladder volume is finally estimated based on the 3D image with improved accuracy. Effectiveness of the proposed method is verified by simulation and human trials. Results show that this method is able to reconstruct 3D image of bladder, and the estimation errors of volume are less than 8% in the human trials, which is accurate enough for patients nursing. This provides a promising alternative for the dynamic monitoring of bladder volume.