Methods are provided for reshaping the left ventricle to a more conical shape to counter the effects of dilation, thereby improving pumping efficiency. In an exemplary embodiment, a reshaping apparatus comprises an implantable body that can be delivered to a dilated left ventricle via the patient's vasculature in a minimally-invasive procedure. When deployed inside the left ventricle, the implantable body applies a longitudinal (downward) force against the inner surface of the left ventricle, thereby causing the left ventricle to distend or elongate downwardly. The implantable body preferably includes an anchor which is deployed adjacent the mitral valve for maintaining the longitudinal force against the inner surface of the left ventricle.