A water tank shown to the right is shaped like an inverted cone with height 4 m and base radius 1 m a If the tank is full how much work is required to pump the water to the level of the top of the tank and out of the tank Use 1000 kg m for the density of water and 9 8 m s for the acceleration due to gravity b Is it true that it takes half as much work to pump all the water out of the tank when it is filled to half its depth as when it is full Explain Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression Set up the integral that gives the work required to pump the water out of the tank Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice Type exact answers 0 9800 16 4y y OB f dx dy nquired is approximately OFFSECED wort answer using as needed Coleor all Check answer