The pipe will be 40.1 meter if the barrel is not to rupture.
The pressure exerted by a fluid at equilibrium at any point due to the force of gravity is known as fluid pressure.
Given that: fluid pressure is: p = 350 kPa = 350 * 1000 Pa = 350000 Pa.
Density of fluid is: ρ = 890 kg/m^3.
Let the height of the pipe is h.
Hence, from the formula of P = hρg we get: the height of the pipe is:
h = P/ρg
= 350000/(890×9.8) m
= 40.1 meter.
So, the pipe is 40.1 m long.
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