Solve the following problem given below:
Problem: A barrel will rupture when the gauge pressure within it reaches 100 kPa. It is attached to the lower end of a vertical pipe. The barrel is roughly a cylinder with a diameter of 40cm and a height of 53cm. The pipe has a diameter of 6.0cm.
A- How high can the water be in the pipe before the barrel ruptures?
Please use as much detail as required in your solution. Thanks.