Here ,
for the pipe
volume flow rate = Area * velocity
volume flow rate = 15 *10^-4 * 3 m^3/s
let the time taken to fill the barrel is t
total volume = volume flow rate * t
2.2 = 15 *10^-4 * 3 * t
solving for t
t = 488.9 s
t = 8.15 min
the time taken to fill the barrel is 8.15 min
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