English native speakers I need your help! Hi, everyone! I've translated this short text but I'm not sure if this makes sense. Please check it thanks in advance The fields of application in the N-dimensional orthonormalized Euclidean phase space widely accepted in statistical physics and thermodynamics are given in the volume of an N-dimensional ball. Its differential and a simple method for calculating these quantities are presented in the methodical work. The obtained expression allows us to calculate the volume of an N-dimensional ball for any value of N. It is shown that in case of very large N-s, the volume of the sphere is confined in a thin layer near its N-dimensional surface.