Project #1 by Maya Elias
For my project, I decided to use the washer method. This method is similar to the disk method in that it is used to calculate the volume of a graph around the x- or y-axis, but this method is useful when the graph has a hole in it. Just like a washer (pictured to the right) that you'd find in a tool kit, our 3D image can be visualized as a bunch of different sized washers stacked on one another. I chose to use the washer method because it worked best with my particular functions. I chose the functions \[f(x) = (1/10) * x^2\] and \[f(x) = 0\] because I wanted my 3D printed image to look like a bowl. I figured a bowl could be useful and cute and still properly demonstrate the washer method. The 3D model I created(pictured on the left) is made up of mulitple hollow cylinders and one solid cylider in the center. Because of its composition, in order to calculate the volume of the solid, I calculat...