$3-126$ A $1\mathrm{.}2-$m$-$diameter, $3-$m$-$high sealed vertical cylinder is

completely filled with gasoline whose density is $740k\frac{g}{m^3}.$ The

tank is now rotated about its vertical axis at a rate of $70rpm.$

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.

FIGURE P$3-126$