Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 4zi + 4xj + yk across the surface S: r(r,0) = r cos 0i + r sin 0j + (25 - r²) k, 0≤r≤5, 0 ≤0 ≤2 in the direction away from the origin. The flux of the curl of the field F is . (Type an exact answer, using as needed.)

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