Find the total charge on the curve \(\mathbf{r}(t)=\left(\sin t, \cos t, \sin ^{2} tight)\) in centimeters for \(0 \leq t \leq \frac{\pi}{8}\) assuming a charge density of \(ho(x, y, z)=x y\left(y^{2}-zight)\) (in units of \(10^{-6} \mathrm{C} / \mathrm{cm}\) ).