Attributes of an AIS_InteractiveObject

The difficult part is that OCC does not think of your object as a cylinder. Instead, it thinks of it as a group of topology ( 3 faces, two edges ) with underlying geometry ( two planar surfaces, one cylindrical surface, two circular curves. There are multiple ways to get the values you want, but I think the easiest is to get it from the curves. Try this:

Cast the AIS_InteractiveObject to an AIS_Shape
Get the TopoDS_Shape from the AIS_Shape
Use TopExp_Explorer to iterate through the curves
If the curve type is a circle, convert it to a circle
Get the radius and center of the circles

Note: I have not tried this code, but I think the general idea is correct.

double dRadius; // Variables to hold our results
gp_pnt ptEnds[2];
int numEndsFound = 0;

Handle(AIS_Shape) aShape = Handle(AIS_Shape)::DownCast(objList.First());
if (!aShape.IsNull ())
{
TopoDS_Shape topo = aShape->Shape()
TopExp_Explorer Ex;
// Get the circles at the top and bottom of the cylinder
for (Ex.Init(mWireframeShape,TopAbs_EDGE); Ex.More(); Ex.Next())
{
Handle(Geom_Curve) curve;
double dParamStart;
double dParamEnd;
curve = BRep_Tool::Curve(TopoDS::Edge(Ex.Current()), dParamStart, dParamEnd );
if (curve->IsKind(STANDARD_TYPE(Geom_Circle)))
{
Handle(Geom_Circle) aCircle = Handle(Geom_Circle)::DownCast(curve);
if (!aCircle .IsNull ())
{
gp_Circ circle = aCircle->Circ();
dRadius = circle.Radius();
ptEnds[numEndsFound] = circle.Location();
numEndsFound++;
if( numEndsFound == 2 )
{
break;
}
}
}
}
}

if( numEndsFound != 2 )
{
// Something didn't work right!!
}

// I'll leave it to you to calculate the position and height from the two end points.

Just to add to Eric's reply, another way more or less similar for cones, cylinder and spheres is :

http://www.opencascade.org/org/forum/thread_18562/

But I don't know how to get the geometrical properties for primitives like for example cubes. The way I am doing is storing the geometry in say in an object and inquiring the info when I need it back.

Thanks,
Venu