Volume of a Cone as the Limit of Cylinders

Volume of a Cone as the Limit of Cylinders
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2015-09-09 05:49
This example derives the volume of a cone by considering it as the limit of a series of cylinders. Key mathematical concepts include cones, cylinders, volume, and limits. The Sequence command is used to construct a series of cylinders, and the height and radius are adjusted to approximate the cone.

GeoGebra Commands & Parameters

  1. Sequence(Cylinder[(0, 0, (i * h / n)), (0, 0, ((i + 1) * h / n)), ((n - i) * r / n)], i, 0, n - 1) → list2