The problem involved a massive stockpile of grain (wheat) in a 60 meter diameter cone shaped stockpile. It is easy to calculate the volume and hence the tonnage, but the real tricky bit is to calculate the maximum amount that can be extracted from a single outlet located 3.3 meters inside the perimeter wall. This means that I have to calculate the difference in volume between 2 intersecting non-concentric cones.
The following diagram shows the situation, and I invite anyone to give me the formula because I am completely stumped.
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