Question: Plotting 3d results from fsolve of intersection of plane with spheres

My first Question ever.

I am trying to create 3d surfaces between spacecurves 

I have tried various approaches with Known curves and stringing polygons between points on different curves. Currently I am stuck, I need to create surfaces between circles of known radius and centre position but the evalf or solve funnctions return values that have to be manualy cut and pasted into spacecurve. Think of the Tapered Candle cut into cross sections but in my case the candle is deformed through bending and I need to automatically generate the surfaces between the displaced cross sections.

Currently I can solve for the intersection of a plane and sphere and get the equations for the new cross section but I have to manuallly sort throught the roots and parametize the equation. Please help. 

Eventually I hope that this leads to being able to render large structures in deformed status. At this time I can only use cross sections( Wire Frame) If I could place the two fsolve functions inside the polygonplot nd step through the polygon plotting that woulld be great.

Please e-mail the response if possible. Thank you in advance.

vburach