You are the mayor of a town immediately downstream from a glacier with a side-glacier lake that could catastrophically drain through a subglacial tunnel. The geometry of the lake basin is such that failure will most likely occur when the lake has achieved a level corresponding to a lake volume of 100 million m³.

i) What is your estimate of the peak discharge of the flood?

ii) What is your estimate of the duration of the flood, given the lake volume and peak discharge? Report your answer in days.