diff --git a/src/openmc_cad_adapter/surfaces.py b/src/openmc_cad_adapter/surfaces.py
index bc84384..6d7f8ae 100644
--- a/src/openmc_cad_adapter/surfaces.py
+++ b/src/openmc_cad_adapter/surfaces.py
@@ -307,17 +307,21 @@ class CADXCone(CADSurface, openmc.XCone):
 
     def to_cubit_surface_inner(self, ent_type, node, extents, inner_world=None, hex=False):
         cad_cmds = []
-        cad_cmds.append( f"create frustum height {extents[0]} radius {math.sqrt(self.coefficients['r2']*extents[0])} top 0")
-        ids = emit_get_last_id( ent_type , cad_cmds)
+        cad_cmds.append( f"create frustum height {extents[0]} radius {math.sqrt(self.coefficients['r2'])*extents[0]} top 0")
+        ids = emit_get_last_id(ent_type, cad_cmds)
+        cad_cmds.append(f"body {{ {ids} }} move 0 0 -{extents[0]/2.0}")
+        cad_cmds.append(f"body {{ {ids} }} copy reflect z")
+        ids2 = emit_get_last_id(ent_type, cad_cmds)
+        cad_cmds.append(f"unite body {{ {ids} }}  {{ {ids2} }}")
         cad_cmds.append( f"rotate body {{ {ids} }} about y angle 90")
+        x0, y0, z0 = self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0']
+        cad_cmds.append(f"body {{ {ids} }} move {x0} {y0} {z0}")
+
         if node.side != '-':
             cad_cmds.append( f"brick x {extents[0]} y {extents[1]} z {extents[2]}" )
-            wid = emit_get_last_id( ent_type , cad_cmds)
+            wid = emit_get_last_id(ent_type , cad_cmds)
             cad_cmds.append(f"subtract body {{ {ids} }} from body {{ {wid} }}")
-            move(wid, self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0'], cad_cmds)
             ids = wid
-        else:
-            move(ids, self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0'], cad_cmds)
         return ids, cad_cmds
 
     @classmethod
@@ -329,17 +333,21 @@ class CADYCone(CADSurface, openmc.YCone):
 
     def to_cubit_surface_inner(self, ent_type, node, extents, inner_world=None, hex=False):
         cad_cmds = []
-        cad_cmds.append( f"create frustum height {extents[1]} radius {math.sqrt(self.coefficients['r2']*extents[1])} top 0")
+        cad_cmds.append( f"create frustum height {extents[1]} radius {math.sqrt(self.coefficients['r2'])*extents[1]} top 0")
         ids = emit_get_last_id(ent_type, cad_cmds)
+        cad_cmds.append(f"body {{ {ids} }} move 0 0 -{extents[1]/2.0}")
+        cad_cmds.append(f"body {{ {ids} }} copy reflect z")
+        ids2 = emit_get_last_id(ent_type, cad_cmds)
+        cad_cmds.append(f"unite body {{ {ids} }}  {{ {ids2} }}")
         cad_cmds.append( f"rotate body {{ {ids} }} about x angle 90")
+        x0, y0, z0 = self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0']
+        cad_cmds.append(f"body {{ {ids} }} move {x0} {y0} {z0}")
+
         if node.side != '-':
             cad_cmds.append( f"brick x {extents[0]} y {extents[1]} z {extents[2]}" )
-            wid = emit_get_last_id(ent_type, cad_cmds)
+            wid = emit_get_last_id(ent_type , cad_cmds)
             cad_cmds.append(f"subtract body {{ {ids} }} from body {{ {wid} }}")
-            move(wid, self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0'], cad_cmds)
             ids = wid
-        else:
-            move(ids, self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0'], cad_cmds)
         return ids, cad_cmds
 
     @classmethod
@@ -351,16 +359,20 @@ class CADZCone(CADSurface, openmc.ZCone):
 
     def to_cubit_surface_inner(self, ent_type, node, extents, inner_world=None, hex=False):
         cad_cmds = []
-        cad_cmds.append( f"create frustum height {extents[2]} radius {math.sqrt(self.coefficients['r2']*extents[2])} top 0")
+        cad_cmds.append( f"create frustum height {extents[2]} radius {math.sqrt(self.coefficients['r2'])*extents[2]} top 0")
         ids = emit_get_last_id(ent_type, cad_cmds)
+        cad_cmds.append(f"body {{ {ids} }} move 0 0 -{extents[2]/2.0}")
+        cad_cmds.append(f"body {{ {ids} }} copy reflect z")
+        ids2 = emit_get_last_id(ent_type, cad_cmds)
+        cad_cmds.append(f"unite body {{ {ids} }}  {{ {ids2} }}")
+        x0, y0, z0 = self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0']
+        cad_cmds.append(f"body {{ {ids} }} move {x0} {y0} {z0}")
+
         if node.side != '-':
             cad_cmds.append( f"brick x {extents[0]} y {extents[1]} z {extents[2]}" )
             wid = emit_get_last_id(ent_type , cad_cmds)
             cad_cmds.append(f"subtract body {{ {ids} }} from body {{ {wid} }}")
-            move(wid, self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0'], cad_cmds)
             ids = wid
-        else:
-            move(ids, self.coefficients['x0'], self.coefficients['y0'], self.coefficients['z0'], cad_cmds)
         return ids, cad_cmds
 
     @classmethod
@@ -437,4 +449,4 @@ def to_cubit_surface_inner(self, ent_type, node, extents, inner_world=None, hex=
 
 _CAD_SURFACES = [CADPlane, CADXPlane, CADYPlane, CADZPlane, CADCylinder, CADXCylinder, CADYCylinder, CADZCylinder, CADSphere, CADXCone, CADYCone, CADZCone, CADXTorus, CADYTorus, CADZTorus]
 
-_CAD_SURFACE_DICTIONARY = {s._type: s for s in _CAD_SURFACES}
\ No newline at end of file
+_CAD_SURFACE_DICTIONARY = {s._type: s for s in _CAD_SURFACES}
diff --git a/test/gold/x_cone.jou b/test/gold/x_cone.jou
index 9652ae6..62ab731 100644
--- a/test/gold/x_cone.jou
+++ b/test/gold/x_cone.jou
@@ -5,8 +5,12 @@ graphics pause
 set journal off
 set default autosize off
 #CELL 1
-create frustum height 500 radius 50.0 top 0
+create frustum height 500 radius 1118.033988749895 top 0
 #{ id1 = Id("body") }
+body { id1 } move 0 0 -250.0
+body { id1 } copy reflect z
+#{ id2 = Id("body") }
+unite body { id1 }  { id2 }
 rotate body { id1 } about y angle 90
 body { id1 } move 30.0 3.0 5.0
 body { id1 } name "Cell_1"
diff --git a/test/gold/y_cone.jou b/test/gold/y_cone.jou
index 10701a7..c41c73a 100644
--- a/test/gold/y_cone.jou
+++ b/test/gold/y_cone.jou
@@ -5,8 +5,12 @@ graphics pause
 set journal off
 set default autosize off
 #CELL 1
-create frustum height 500 radius 31.622776601683793 top 0
+create frustum height 500 radius 707.1067811865476 top 0
 #{ id1 = Id("body") }
+body { id1 } move 0 0 -250.0
+body { id1 } copy reflect z
+#{ id2 = Id("body") }
+unite body { id1 }  { id2 }
 rotate body { id1 } about x angle 90
 body { id1 } move 40.0 20.0 7.0
 body { id1 } name "Cell_1"
diff --git a/test/gold/z_cone.jou b/test/gold/z_cone.jou
index 6b5c518..ecb6b4c 100644
--- a/test/gold/z_cone.jou
+++ b/test/gold/z_cone.jou
@@ -5,8 +5,12 @@ graphics pause
 set journal off
 set default autosize off
 #CELL 1
-create frustum height 500 radius 22.360679774997898 top 0
+create frustum height 500 radius 250.0 top 0
 #{ id1 = Id("body") }
+body { id1 } move 0 0 -250.0
+body { id1 } copy reflect z
+#{ id2 = Id("body") }
+unite body { id1 }  { id2 }
 body { id1 } move 50.0 10.0 2.0
 body { id1 } name "Cell_1"
 group "mat:void" add body { id1 } 
diff --git a/test/test_local.py b/test/test_local.py
index a09cd3f..d615f84 100644
--- a/test/test_local.py
+++ b/test/test_local.py
@@ -93,7 +93,7 @@ def test_y_cone(request, run_in_tmpdir):
 
 @reset_openmc_ids
 def test_z_cone(request, run_in_tmpdir):
-    z_cone = openmc.ZCone(x0=50.0, y0=10.0, z0=2.0, r2=1.0)
+    z_cone = openmc.ZCone(x0=50.0, y0=10.0, z0=2.0, r2=0.25)
     g = openmc.Geometry([openmc.Cell(region=-z_cone)])
     to_cubit_journal(g, world=(500, 500, 500), filename='z_cone.jou')
     diff_gold_file('z_cone.jou')