The base of a solid is bounded by $y=\sqrt[\phantom{2}]{x},y=0,x=2,$ and $x=6.$ Its cross$-$sections, taken perpendicular to the $x-$axis, are squares. Find the volume of the solid in cubic units. Show all work.

$(4$ points$)$

B

I

v

$9$

$2$

$\sqrt[\phantom{2}]{1}$