Perform the following estimations without using a calculator. 

(a) Estimate the mass of water (kg) in an Olympic-size swimming pool.

(b) A drinking glass is being filled from a pitcher. Estimate the mass flow rate of the water (g/s). 

(c) Twelve male heavyweight boxers coincidentally get on the same elevator in Great Britain. Posted on the elevator wall is a sign that gives the maximum safe combined weight of the passengers, Wmax, in stones. (A stone is a unit of mass equal to 14 lbm. It is commonly used in England as a measure of body weight, which, like the numerical equivalence between the lbm and lbf , is only valid at or near sea level.) If you were one of the boxers, estimate the lowest value of W_max for which you would feel comfortable remaining on the elevator. 

(d) The Trans-Alaska Pipeline has an outside diameter of 4 ft and extends 800 miles from the North Slope of Alaska to the northernmost ice-free port in Valdez, Alaska. How many barrels of oil are required to fill the pipeline? 

(e) Estimate the volume of your body (cm³) in two different ways. (Show your work.) 

(f) A solid block is dropped into water and very slowly sinks to the bottom. Estimate its specific gravity.