Cone Volume Exploration Module 8B: Sugeng Suprayogi (SMK Negeri 1 Bontang)

Cone Volume Exploration Module 8B: Sugeng Suprayogi (SMK Negeri 1 Bontang)
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2018-08-31 05:52
This GeoGebra example demonstrates an interactive exploration of the volume formula for a cone. It focuses on solid geometry concepts, specifically the relationship between the base radius, height, and volume of a cone, using isosceles triangle cross-sections to aid visualization. The construction employs sliders (h, n, r) to adjust height, number of subdivisions, and radius; the Sequence command to generate layered structures; and Textfield/InputBox1 for dynamic parameter input. Multiple text objects (text1 to text8) label formulas and values. This module is suitable for middle school or high school geometry classes, as well as vocational school mathematics, providing an intuitive way to understand the derivation of the cone volume formula.

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) → L_1
  2. Textfield(n) → InputBox1