A tank is a vertical cylinder with an inside diameter of 6ft and a height of 15ft.
a. What is the volume of liquid in cubic feet if we fill the tank to one foot high?
b. What is the total volume of the tank in cubic feet?
c. What is the volume of water in cubic ft in the tank if a measuring stick indicates the water surface is 6 feet below the top of the tank?
d. What is the weight in pounds of the tank, as in the above case, if the tank itself weighs 20 lbs per ft of height?
e. How much water in gallons would have to be removed to reduce the total weight of the tank plus water, as in the above case, by 20%?
f. What would be the new level of the water, as measured from the top of the tank, if the water in the above case (the equivalent of 20% of total weight) is removed?