Find the volume of the solid obtained by rotating the region bounded by $\displaystyle {y}={4}{x}^{{2}}$, $\displaystyle {x}={1}$, $\displaystyle {x}={4}$ and $\displaystyle {y}={0}$, about the $\displaystyle {x}$-axis.

$\displaystyle {V}=$ Preview Question 6