R is the region in the first and second quadrants bounded above by the graph y=(20)/(1 + x^2) and below by the line y= 2. find the volume of the solid when generated by the x axis.

Okay, so I set the hyperbola function as the outer radius and the horizontal line as the inner radius. Then I squared it and multipied by pi and integrated, but I'm getting a really big unreasonable number.