What can rotation values imply on a sphere?

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matia
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Hello,
I have a sphere (actually an image warping a sphere) I know the rotation values,
can I get the sphere radius by these parameters ?
 
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I have an image projected on a plane tanget to a sphere, I know the camera rotation values over x,y,z... I need the sphere radius inorder to know where the z axis (of the sphere) intersects with the plane (I can assume its (0,0,Z) , x,y =0, but I need Z).
Thanks