O uso da integral definida para calcular o volume de uma garrafa circular através da interpolação de lagrange

Abstract

Due to the difficulty of carrying out larger calculations to obtain volumes of everyday objects, we almost always try to make simpler calculations, which we use using geometric solid formulas. Thus, this work reports the calculation of the volume of a circular bottle that was our object of study, where we found a random number of points according to the curves and straight lines in the contour of the bottle. To find the measurements that formed these points, we used a tape measure and a measuring tape. By approximating these points we apply Lagrange Interpolation, thus obtaining functions that formed the region of the solid, in which we use the Definite Integral in each of them to calculate the possible values. With this, we combined these values and had the final result of calculating the volume of the circular bottle.