In this paper, written by me as a Junior in high school, I explore different proofs of the formula for the solid of revolution created by rotating the parabola, y=ax^2, about the axis of rotation, y=bx. More details can be found in the Abstract of the PDF.
Included are the PDF, the .tex file necessary to generate the PDF, and a folder of images that are either referenced in the .tex file or were my original drafts of those used. The .blend's (Blender 3D) used to generate the images in the folder is also included in the folder.