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

Use the formula

$V={\displaystyle \underset{a}{\overset{b}{}}}A(x)dx$

to find the volume of the solid.

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

The lower limit of integration is $a=$

The upper limit of integration is $b=\frac{4}{3}$

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

$A(x)=v$

Thus the volume of the solid is $V=$ :