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The Base of a Certain Solid Is an Elliptical Region x216+y29=1\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1

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The base of a certain solid is an elliptical region with boundary curve x216+y29=1\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 9 } = 1 Cross-sections perpendicular to the x-axis are squares. Find the volume of the solid.

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