1. The problem statement, all variables and given/known data An open barrel of radius r and height h is initally full of water. It is tilted and water pours out until the water level coincides with a diameter of the base and just touches the rim of the top. Find the volume of water left in the barrel. The picture is a cylinder that is tipped with a shaded region as described above. No real information is given. 2. Relevant equations To get Volume, generally, you cut the picture into slabs, get an equation for the area and then integrate the area, in this case from 0 to h 3. The attempt at a solution The section its in deals only with integrating the areas of washers, slabs, and disks... but I have no idea how to go about this one.