Consider the curve in the x=0 plane given by the equation z=17/5y^2. Let S be the surface of rotation of C around the Oz axis. Also consider the spherical surface E with center C=(0,0,α ) and radius 10. Suppose α is greater than 10 and that the intersection if S∩ E is a single circle. Under these conditions, determine the radius of the circle S∩ E.

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