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Geometry Tutorials: How to calculate the Volume (V) of a Cone

Similar as with a previous tutorial that I have written, where the volume of a pyramid can be derived from the volume of a rectangular solid, we can derive the volume of a cone from the volume of a cylinder. As with the pyramid and the rectangular solid, the volume of a cone is one third of the volume of a cylinder.

So how do we calculate the volume of a cylinder? Simple Cylinder (or in this case Cone) height times radius squared, times Pi:


So, now all that is left to do is divide our Cylinder volume by three, and we will be left with the cone volume:

Πr²h ÷ 3

Don't forget to apply your units of measurement to the result. It's no good to just have a number; it's the units that give the result a proper meaning!

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