Bótes i barrils

In this paper we consider the validity of
several practical formulas used to calculate
the volume of wine or cider barrels. In our
study we will find, for instance, Simpsons
formula for calculating definite integrals; a
book written by Kepler on the subject; and
the method of least squares established by
Gauss and Legendre, for calculating the best
solution for overdetermined and
incompatible systems.