Chapter 13, Problem 18P

(II) In working out his principle, Pascal showed dramatically how force can be multiplied with fluid pressure. He placed a long, thin lube of radius r = 0.30 cm vertically into a wine barrel of radius R = 21 cm, Fig. 13–50. He found that when the barrel was filled with water and the tube filled to a height of 12 m, the barrel burst. Calculate (a) the mass of water in the tube, and (b) the net force exerted by the water in the barrel on the lid just before rupture.

FIGURE 13–50

Problem 18 (not to scale).