Hi,
using radial modelling is easy and fun.
first draw a sphere and position it like the first image, the yellow is the Z axis. By having it at an angle it makes it easier to see how your modelling looks.
then go into edit mode. and turn on radial symmetry and turn on the Z axis. if you want smooth circular modelling like you were using a lathe , use a big number like 50 or more. If you want pointy symmetry use something smaller like 12.
You will see a red circle of editing points.
It is now simply a matter of stroking the sphere. you can use Z add with varying intensity. Remember that you can press the alt key and Z add will turn into Z minus so that you can keep stroking the shape while alternately adding or subtracting
It’s probably best to start with the move mode to get a basic shape. the move mode can be very dramatic.
once you start it is very addictive. You’ll be surprised how easy it is. 
here’s a very simple script.
radial.txt