(Solved): The base of a certain solid is the area bounded above by the graph of y=f(x)=4 and below by the gra ...

The base of a certain solid is the area bounded above by the graph of $y=f(x)=4$ and below by the graph of $y=g(x)=25x^2$. Cross-sections perpendicular to the $x$-axis are squares. (See picture above, click for a better view.) Use the formula $V={?}_a^{b}A(x)dx$ to find the volume of the solid. The lower limit of integration is $a=$ The upper limit of integration is $b=$ The side $s$ of the square cross-section is the following function of $x$ : $A(x)=$ Thus the volume of the solid is $V=$