\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016f.01414}
\itemau{Roanes Mac\'{\i}as, E.; Roanes Lozano, E.}
\itemti{Reproducing with GeoGebra the computation of a sphere's volume due to Archimedes. (Recreando con GeoGebra el c\'alculo del volumen de la esfera ideado por Arqu\'{\i}medes.)}
\itemso{Bol., Soc. ``Puig Adam'' Profr. Mat., No. 102, 62-72 (2016).}
\itemab
Summary: We recreate with the dynamic geometry system (DGS) GeoGebra, that now incorporates powerful 3D capabilities, the famous construction-deduction of the calculation of the volume of a sphere due to Archimedes. This classic construction-deduction uses two 3D auxiliary figures: a cone and a cylinder, whose volumes are much easier to obtain. Using this approach, the end-user of the DGS can easily visualize how the problem is reduced to something as simple as Pytagoras theorem. We believe that this recreation, based on the use of a 3D DGS system, is both eye-catching and of educational interest.
\itemrv{~}
\itemcc{U70 G40}
\itemut{GeoGebra; sphere; volume; Pythagoras theorem}
\itemli{}
\end