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
$$
V(t)=100,000\left(1-\frac{1}{\infty} t\right)^{2} \quad 0 \leqq t \leqq 60
$$
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?