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The aim of this work is to estimate the volume of a random shape cavity using distance sensors which transmit on a surface of a sphere, where sensors are mounted in a normal distribution. It is based on a variant method of convex surface volume measurement using triangulation. The innovation in the present work is that the measurements of distances for triangulation are taken from a random point of the cavity, to the inner wall. This method could be applied in cardiac ventricles; ventricles volume is an important hemodynamic factor for heart failure patients. The necessity for a new method of volume measurement by catheterization is more compulsory in the right ventricle due to its shape singularity than in the case of the left ventricle, whose practicable shape helps in easier volume estimation.