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## Homework Statement

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

## Homework Equations

P = F/A , AP = F = ρgh∏r

^{2}

## The Attempt at a Solution

F = 1000kg/m

^{3}* 9.81m/s

^{2}* 14.5m * ∏ * (.218m)

^{2}

F = 21237.32775 N

The answer turned out wrong but i can't figure out what is wrong.