Find the volume of the following solid. the solid between the cylinder f(x, y)equals=e superscript negative xe−x and the region requals=startset left parenthesis x comma y right parenthesis : 0 less than or equals x less than or equals ln 6 comma negative 6 less than or equals y less than or equals 6 endset{(x, y) : 0≤x≤ln6, −6≤y≤6}. an x y z coordinate system has a positive x-axis with a tick mark at ln 6, a y-axis with tick marks at negative 6 and 6, and a positive z-axis. a surface labeled f left parenthesis x comma y right parenthesis equals e superscript negative x has a rectangular projection in the x y plane that extends between x-coordinates 0 and ln 6 and between y-coordinates negative 6 and 6. all cross sections of the surface parallel to the x z plane are identical curves that fall at a decreasing rate from x-coordinate 0 to a x-coordinate ln 6, with a z-coordinate greater than 0 at x-coordinate ln 6. ln 6ln6 66 66 the volume of the solid is