This nicely curved mathematical vase without bottom is a surface of revolution. Indeed, it is just the graph of the function y=(x+9)*(x-68)*(x-68)*0.0003+10, rotated about the x-axis. This object is just for teaching (or fun) purposes; as it does not contain a bottom, you cannot fill it with water. If you want the version with bottom then take the following object instead:
https://www.shapeways.com/product/FQ9E9D28V/math-vase