A 1.20-m-diameter, 3.00-m-high sealed vertical cylinder is completely filled with gasoline whose density is 740 kg/m'. The tank is now rotated about its vertical axis at a rate of 70.0 rpm. Note that the unit "revolutions per minute (abbreviated form: rpm, RPM, rev/min, 1/min) is the number of turns in one minute, and is related to the unit radian per second (rad/s) through 2 1 rpm = -rad/s = 0.10472 rad/s 60 3.00 m Assuming that (1) the increase in the rotational speed is very slow so that the liquid in the container always acts as a rigid body, and (2) gasoline is an incompressible substance, Determine (a) [10 Points) the difference between the pressures at the centers of the bottom and top surfaces and (b) [10 Points] the difference between the pressures at the center and the edge of the bottom surface