$(5$ points$)$

The base of a certain solid is the area bounded above by the graph of $y=f(x)=9$ and below by the graph of $y=g(x)=16x^2.$ Crosssections perpendicular to the $y-$axis are squares. $($See picture above, click for a better view.$)$ Use the formula

to find the volume of the formula.

Note: You can get full credit for this problem by just entering the final answer $($to the lastquestion$)$ correctly. The linitial questions are meant as hints towards the final answer and also allow you the opportunity to ge

The lower timit of integration is $a=$

The upper limit of integration is $b=q,$

The side $s$ of the square cross$-$section is the following function of $y$ :

$A(y)=$

$$