The following scene, showing an almost cylindrical cone floating above a 
plane, renders fine in POV 3.6.2, but is obviously broken in 3.7.0.beta.34:

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camera {
   right     x
   up        y*image_height/image_width
   location  <80,50,40>
   look_at   <0,0,0>
}

light_source { <500,500,500> color rgb 1 }

cone {
   <0,0,30>, 11.303000, <0,0,-30>, 11.302999
   texture { pigment { color rgb 1 } }
}

plane { y, -20 texture { pigment { color rgb 0.3 } } }

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The error occurs even with the -MB option, insicating that the problem 
is probably in the cone intersection testing code.

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