A $0\mathrm{.}6-$m$-$diameter, $5-$m$-$high sealed vertical cylinder is completely filled with

gasoline whose density is $740$ kg$/$m$3.$ The tank is now rotated about its vertical

axis at a rate of $70$ rpm$.$ Determine $($a$)$ the difference between the pressures at

the centers of the bottom and top surfaces and $($b$)$ the difference between the

pressures at the center and the edge of the bottom surface.