Solid of Revolution: Region between x^3 and x^2

Let f(x)=x^3/16 and g(x)=x^2/16. Rotate the enclosed region between 1 and 4 around the x-axis. This is the volume created.

STL Created in Maple.

3d picture created in Fusion 360

2d picture created in Graph

There are two STLs for this - a sharp and a smooth version.