The base of a solid is a region bounded by the curve (x^2/8^2)+(y^2/4^2)=1 (an ellipse with the major and minor axes of lengths 16 and 8 respectively). Find the volume of the solid if every cross section by a plane perpendicular to the major axis (xaxis) has the shape of an isosceles triangle with height equal to 1/4 the length of the base.
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