Mathematical Modeling and Programming Algorithm Associated with Mathematical Simulation of The Volume of a Tank

Abstract

This scientific article aims to present the results of an experience report of pedagogical actions for the resolution of a problem situation about the volume of a liquid varying inside a conical base cylindrical tank, which includes mathematical modeling and programming language specifically with regard to the possibility of interrelating two teaching techniques with a common purpose: mathematical modeling and programming algorithms associated with mathematical simulation. To achieve the objectives, we modeled mathematically the proposed problem situation with functions of two positive real variables and three sentences, using mathematical procedures and then mathematically simulate the values ​​of the radius R and the depth "d" of the liquid inside and "outside" of the tank - directly in the developed computer program. The results of the mathematical and computational studies proved to be satisfactory to the objectives proposed for the studies, this is because, the values ​​obtained by different methods presented the same real numbers.