On April 1. a reservoir has a water depth of 8 m. The reservoir is fed by a stream which becomes swollen with snow melt as the month progresses. The volumetric flow rate of stream water entering the reservoir during the month of April in m/day is Vi(t) - V x e" where Vo 2.7 k 10 m/day. tis the time in days and c0.026 in units of 1/day. (0 at 1201 am on April 1). Water issues from the reservoir through a dam, The flow rate of the dscharge at the dam is steady at a rate of 0.2 x 10 m/day for the frst 15 days of the month At midnight on April 15. the sluice gates are adjusted to allow a higher flow rate of 5.8x 10 m/day. This rate remains constant unti the end of the month. If the surface area of the reservoir is 3.2 x 10 m find the depth on Aprit 30. Assume that the surface area remains unchanged during the month and that the effects ot raintall and evaporation are negligible Solution Reservoir depth on Apnl 30inm and withn 2.5%

On April 1. a reservoir has a water depth of 8 m. The reservoir is fed by a stream which becomes swollen with snow melt as the month progresses. The volumetric flow rate of stream water entering the reservoir during the month of April in m/day is Vi(t) - V x e" where Vo 2.7 k 10 m/day. tis the time in days and c0.026 in units of 1/day. (0 at 1201 am on April 1). Water issues from the reservoir through a dam, The flow rate of the dscharge at the dam is steady at a rate of 0.2 x 10 m/day for the frst 15 days of the month At midnight on April 15. the sluice gates are adjusted to allow a higher flow rate of 5.8x 10 m/day. This rate remains constant unti the end of the month. If the surface area of the reservoir is 3.2 x 10 m find the depth on Aprit 30. Assume that the surface area remains unchanged during the month and that the effects ot raintall and evaporation are negligible

Solution Reservoir depth on Apnl 30inm and withn 2.5%