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Find the volume of the of the solid described as follows: The base of the solid...

Find the volume of the of the solid described as follows: The base of the solid is the region enclosed by the line y=4-x, the line y=x, and the y-axis. The cross sections of the region that are perpendicular to the x-axis are isosceles triangles whose height is equal to half their base. What is the volume of this solid (rounded to two decimal places)? Please show work. Thanks much!

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