Finding Volume of object in 3D space rotating on x-axis

Find the volume of the solid, generated by revolving the region bounded by $y=\sqrt{\mathrm{sin}(4x)},y=0$ and $0\le x\le \frac{\pi}{4}$ about the x-axis.

To solve for volume, I have the following integral

$V={\int}_{0}^{\pi /4}\pi r(x{)}^{2}dx=\pi {\int}_{0}^{\pi /4}\mathrm{sin}(4x)dx=\pi {[-\frac{\mathrm{cos}(4x)}{4}]}_{0}^{\pi /4}=\frac{\pi}{4}.$

That is not one of the solution options. What did I do wrong?

Find the volume of the solid, generated by revolving the region bounded by $y=\sqrt{\mathrm{sin}(4x)},y=0$ and $0\le x\le \frac{\pi}{4}$ about the x-axis.

To solve for volume, I have the following integral

$V={\int}_{0}^{\pi /4}\pi r(x{)}^{2}dx=\pi {\int}_{0}^{\pi /4}\mathrm{sin}(4x)dx=\pi {[-\frac{\mathrm{cos}(4x)}{4}]}_{0}^{\pi /4}=\frac{\pi}{4}.$

That is not one of the solution options. What did I do wrong?