In the seventeenth century, Blaise Pacal performed the following experiment to demonstrate the properties of pressure. A very long, thin, vertical tube was inserted into the center of the top lid of a wine barrel filled with water. Water was then added slowly to the tube until the wine barrel burst. (See figure 13-50 on page 363 of your textbook, but ignore the numbers)
Suppose the radius of the wine barrel lid has radius rl = 21.8 cm, the radius of the tube was rt = 2.67 mm, and the height of the water in the tube was h = 14.5 m. Find:
a) F, the magnitude of the force exerted on the inside of the barrel lid due to water pressure
P = F/A , AP = F = ρgh∏r2
The Attempt at a Solution
F = 1000kg/m3 * 9.81m/s2 * 14.5m * ∏ * (.218m)2
F = 21237.32775 N
The answer turned out wrong but i can't figure out what is wrong.