Ifa spherical tank of radius 4 feet has h feet ofu-'ater present in the tank: then the volume of water in the tank is given by the formula V = gains h). a. At what instantaneous rate is the volume of water in the tank changing with respect to the height of the water atthe instant h = 1 1What are the units on this quantity? '0. Now suppose thatthe height of water in the tank is being regulated by an inflow a.nd outflow (e.g.= a faucet and a drain) so that the height of the water at time t is given by the rule M3 = Sinft] + 1: where t is measured in hours (and h is still measured in feet). At what rate is the height of the water changing with respect to time at the instant {- = 2? c. Continuing under the assumptions in (to): at what instantaneous rate is the volume of water in the tank changing with respect to time at the instant f = 2