The depth of water in a certain nonuniform container is y = .011 t4 + -1.6 t2 + 51, where depth y is in cm when clock time t is in seconds.

The rate at which water flows from a certain nonuniform cylinder is given by rate = .011 t3 + -1.6 t cm3 per minute, where t is in minutes.  How much do water do you think will flow between clock times t = 17.7 minutes and t = 35.2 minutes?