A half-numeric method for Calculation the volume resulting from the intersection of a cylinder with a ball as a function of the impact parameter by using the Mathematical program mathCAD

We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual threedimensional space, and give examples of its usefulness for physics. Produced from surface collisions either elastic collision, or inelastic collision, for the incoming energies greater than the binding energy of the nucleons in the nucleus, the reaction occurs and thus the effective size (what the target nucleus see from the nuclear material in the projectle, and What the projectle see from the nuclear material in the target nucleus) is formed and so for the different collisions parameters .