A Comparison of the Methods of Archimedes to the Methods Used Today (Part III)

This is part 3 of a 4-part mini-series about the mathematical works of Archimedes and how we can solve the problems using the methods that we have available to us today. In this video, we will be discussing Archimedes' work titled "On the Sphere and Cylinder Volume 1" in which Archimedes discovered the ratio between the volume of a sphere and the volume of a cylinder. We also compare his methods to the methods that we can use today. Below is a list of sources that I reference in the video. You can find the corresponding numbers in the top right of the video. Feel free to take a look if you would like to learn more! 1. Archimedes. “ON THE SPHERE AND CYLINDER, BOOK I.” Chapter. In The Works of Archimedes: Edited in Modern Notation with Introductory Chapters, edited by Thomas L. Heath, 1–55. Cambridge Library Collection - Mathematics. Cambridge: Cambridge University Press, 2009. doi:10.1017/CBO9780511695124.010. 2. Eddie Woo, “Conical Volume (1 of 2: Derivation of the Volume of a Cone through Solids of Revolution),” YouTube video, 8:35, 2016,    • Conical Volume (1 of 2: Derivation of the ...  . 3. Eddie Woo, “Spherical Volume (2 of 2: Derivation of the Volume of a Sphere through Solids of Revolution),” 6:55, 2016,    • Spherical Volume (2 of 2: Derivation of th...  . The diagrams were created using GeoGebra