How to visualise the curve $y=\ln x$ rotating around its $y$-axis 
Let the area limited by the curve $y=\ln x$, the line $x=e$ and the $x$-axis rotate around the $y$-axis. Decide the volume of the resulting rotational body.

First thing, I drew the graph:

But then I got stuck on how to imagine/visualise the curve rotating around its $y$-axis. How should I think when visualising the function $lnx$ rotating around its $y$-axis? 
EDIT: 
In the comment section it was written that "if you rotate the rectangle $[0,e]×[0,1]$, it makes a cylinder which volume is easy to compute", but I am not very familiar with the notation for $[0,e]×[0,1]$. 

take a look here with wolfy for $$f=log(\sqrt{x^2+y^2}$$
http://m.wolframalpha.com/input/?i=plot+log%28%28x%5E2%2By%5E2%29%5E.5%29
