Answer:
it's 20/24 which is means in simple form 5/6
answer 5/6
Plug
into the equation of the ellipsoid:

Complete the square:

Then the intersection is such that


which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let



(Attached is a plot of the two surfaces and the intersection; red for the positive root
, blue for the negative)
I think Alexa would be since .3 is a larger number than .03