Problem An infinitely long cylindrical container has a cross section area of radius R, and is placed horizontally with gravity being in the -y direction, as shown in the figure. The cylinder is 50%...

Extracted text: Problem An infinitely long cylindrical container has a cross section area of radius R, and is placed horizontally with gravity being in the -y direction, as shown in the figure. The cylinder is 50% filled with water (the shaded part), with density p. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = po. The length of the cylindrical container in the axial direction is W. R Starting from Newton's 2nd law, derive the а) pressure distribution inside water as a function of r and O in the cylindrical coordinate. (hint: use rectangular coordinate first, and then convert it to cylindrical coordinate).