If a tank holds 5000 gallons of water which drains from the

If a tank holds 5000 gallons of water which drains from the bottom of the tank in 40 minutes, then Torricelli\'s Law gives the volume V of water remaining in the tank after t minutes as V(t) = 5000 (1 - t / 40)2, 0 t 40 Find the rate at which water is draining from the tank after (a) 5 minutes, (b) 10 minutes, (c) 20 minutes and (d) 40 minutes.

Solution

dV(t)/dt=-250(1-t/40) 5min =-250(1-5/40)=-218.75 10 min=-187.5 20 min=-125 40 min=0 Fastest at 5min,and slowest at 40 min