Sunspots are useful sometimes!

Classical Mechanics Level pending

Hot solar plasma is emitted from surface of a circular sunspot whose diameter is 10000 km .When the plasma reaches the height of 16000 km above the surface of the sun, its horizontal cross section is measured to be 90000 km. Assuming that the edge of the plasma cone is parabolic, find the depth inside the sun from which the plasma started. Assume that the viscosity and magnetic permeability remains same inside and outside the solar surface.Type the answer in kilometers.

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