A round vented storage vessel with a \(10-\mathrm{m}\) inside diameter sits on top of a concrete pad within a \(20-\mathrm{m}^{2}\) diked area to contain any leaks. The tank contains runoff water from a process area. A leak of \(10-\mathrm{cm}\) diameter occurs on the side of the vessel located \(1 \mathrm{~m}\) above the bottom. By the time the leaking flow was stopped, the liquid level in the diked area had reached a height of \(0.79 \mathrm{~m}\). Assume pure water for this calculation.

a. Calculate the total amount of water spilled into the dike in \(\mathrm{m}^{3}\) and \(\mathrm{kg}\).

b. What was the original liquid level in the tank, in \(\mathrm{m}\) ?

c. If the liquid level in the tank at the end of the spill was \(8.5 \mathrm{~m}\) above the bottom of the tank, estimate the length of time for the leak, in minutes.