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I'm doing my A-Levels and have a maths investigation project for which I decided to model the working of a shishi-odoshi. (http://en.wikipedia.org/wiki/Shishi-odoshi)

The shape of the water in the shishi-odoshi is a cylindrical segment and I want to use integration to find the formula relating its volume to the lengths of its sides and the radius of its base. I found the following page: http://mathworld.wolfram.com/CylindricalSegment.html which has everything I need but the working out is very brief and I can't follow what's going on.

I understand the final formula (1) by the intuitive reasoning given just above it but I can't understand either of the two derivations using integration. I know the bare bones of integration but I don't mind reading up to understand what they've done. The problem is I don't know what level of maths they're using or what topics I need to learn. If anyone who understands what they've done could perhaps explain it in a little more detail and tell me what I need to learn, it would be greatly appreciated.

Thanks :)

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# Volume of an oblique cylinder

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