How much depth would a lake lose per year if it uniformly covered an area of 80 square kilometers and supplied a local town with a population of 40,000 people? Consider only population uses, and neglect evaporation and so on.An average family of four uses roughly 1200 liters (about 300 gallons) of water per day. (1 L=1000cm^3)

A conventional oil barrel (cylindrical in shape) has an internal diameter of 22 inches and a maximum external diameter of 23 inches. The height inside the barrel is 33 inches, with a maximum external height of of 34 inches. if only 92% of the volume of the barrel can be filled, what is this volume in liters?

(a) Assuming that each cubic centimeter of water has a mass of exactly 1 g, find the mass of 8.88 cubic meter of water. (b) Suppose that it takes 15.5 hours to drain a container of 87.0 m3 of water. What is the "mass flow rate," of water from the container?

Consider a water reservior. The resrvoir graduallly loses water, because people insist on showering, washing clothes, etc.  The "use rate" R is the rate at which consumers use the water.   On April 13, between 1pm and 2pm, R is 5-gallons per second. How much water was drained from the reservoir between 1pm and 130pm?  At midnight, when everyone was asleep, a big industrial water user suddenly becomes active. Let A denote the amount of water taken from the reservoir (in gallons),  with A = 0 at midnight. It turns out that A=2t2 with t expressed in seconds. Given this information, calculate R, the use rate, at t = 10 s.

(a) Estimate the time it would take (in hours) to fill a private swimming pool with a capacity of 90,000 L using a garden hose delivering 39 L/min. hours (b) How long would it take (in s) to fill if you could divert a moderate size river, flowing at 2200 m/s, into it?

A heavy thunderstorm dumps 12000 m^3 of water on a 6.0 acre flat piece ofland (1 acre = 43560 ft^2). How high is the water level after the rain stops, expressed in ft?

A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.

Possibly useful for this problem: 1 gal = 3.785 L; 1 in = 2.54 cm, 1 L = 1000 cm. A storm dumps 1.0 cm of rain on a city 6.0 km wide and 8.0 km long in a 2 hour period. How many gallons of water fell on the city? %3D