Determine the pressure at the bottom of an open 5-m-deep tank in which a chemical process is taking place that causes the density of the liquid in the tank to vary as

\[ ho=ho_{\text {surf }} \sqrt{1+\sin ^{2}\left(\frac{h}{h_{\mathrm{bot}}} \frac{\pi}{2}\right)} \]

where \(h\) is the distance from the free surface and \(ho_{\text {surf }}=1700 \mathrm{~kg} / \mathrm{m}^{3}\).