The paper presents a volume-conformation technique to avoid the staircase approximation in the study of scattering by curved objects with the finite-difference time-domain (FDTD) method. This technique is based on a volume form of the Faraday and Ampere laws and it can easily be added to an existing FDTD code. Results for PEC sharply curved (ogive) and smoothly curved (sphere) objects are presented to show the efficiency of the method.