A solid lies between planes perpendicular to the x-axis at x = 0 and x = 13. The cross-sections perpendicular to the axis on the interval 0≤x≤ 13 are squares with diagonals that run from the parabola y=-2√x to the parabola y = 2√x. Find the volume of the solid. The volume of the solid is cubic units. (Type an exact answer, using as needed.)

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