A cylindrical vessel with radius \(90 \text{ cm}\) filled with 3-meter deep water is sitting on a tower, as shown in the diagram. The vessel has a hole on the bottom with a cross-sectional area of \(6.3 \text{ cm}^2\).

How long (in minutes) will it take before the vessel is completely drained through the hole?

Assume that the gravitational acceleration is \(g = 9.8 \text{ m/s}^2.\)

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