Solving Water Tank Problems with Maple/Mathematica

[Hollysmoke]

1. Consider a rectangular water tank with a length of 8m, a width of 4m , and a height of 5m. Water exits the tank by pouring over the sides.
a) If the tank is initially full of water, find the work required to empty the tank.
b) If the tank is initially half-full of water, find the work required to empty the tank.
c) If the tank is initially full of water, find the work required to pump out half of the water
d) If the tank is initially full of water, find the work F(y) required to pump out the water until the depth of water in the tank is y. Plot F(y)
e) If your goal is to pump out all of the water, at which water level y0 will half of the work be done?




2. How can I get this onto maple?



3. Done it by hand, just have no idea how to solve it on the computer =(

 

[cristo]

How do you have no idea how to do it on the computer? If you've done it by hand, then you know the equations you need to solve. Show your work!