Limacon and paraboloid

[icohim]

I would like if it is possible some help because I'm not very adept at conic-sections and surfaces ... So, how could it be find the formula the volume and surface area of ​​the paraboloid, whose cross section is not an ellipse or circle, but limacon of Pascal. Thank you very much in advance.

 

[HallsofIvy]

I don't know what you mean by this. A cross section of a paraboloid is a circle or ellipse. It cannot be a limacon.