If a cylindrical tank holds 100,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume $ V $ of water remaining in the tank after $ t $ minutes as

$$ V(t) = 100,000 (1 - \frac{1}{60}t)^2 \hspace{5mm} 0 \le t \le 60 $$

Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of $ V $ with respect to $ t $) as a function of $ t $. What are its units? For times $ t $ = 0, 10, 20, 30, 40, 50, and 60 min, find the flow rate and the amount of water remaining in the tank. Summarize your findings in a sentence or two. At what time is the flow rate the greatest? the least?