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Simple Spherical Volumes

Simple Spherical Volumes
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2016-12-03 06:57
Coordinate GeometrySolid GeometryParametric Equation
This example demonstrates how to use GeoGebra to draw simple spherical volumes. It involves the calculation of sphere volume and the use of parametric equations and solid geometry concepts. By adjusting parameters, you can observe changes in the sphere's volume. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Surface(((ρ * sin(φ)) * cos(θ_1)), ((ρ * sin(φ)) * sin(θ_1)), (ρ * cos(φ)), ρ, ρ_1, ρ_2, φ, φ_1, φ_2) → a
  2. Surface(((ρ * sin(φ)) * cos(θ_2)), ((ρ * sin(φ)) * sin(θ_2)), (ρ * cos(φ)), ρ, ρ_1, ρ_2, φ, φ_1, φ_2) → b
  3. Surface(((ρ * sin(φ_1)) * cos(θ)), ((ρ * sin(φ_1)) * sin(θ)), (ρ * cos(φ_1)), ρ, ρ_1, ρ_2, θ, θ_1, θ_2) → c
  4. Surface(((ρ * sin(φ_2)) * cos(θ)), ((ρ * sin(φ_2)) * sin(θ)), (ρ * cos(φ_2)), ρ, ρ_1, ρ_2, θ, θ_1, θ_2) → d
  5. Surface(((ρ_1 * sin(φ)) * cos(θ)), ((ρ_1 * sin(φ)) * sin(θ)), (ρ_1 * cos(φ)), φ, φ_1, φ_2, θ, θ_1, θ_2) → e
  6. Surface(((ρ_2 * sin(φ)) * cos(θ)), ((ρ_2 * sin(φ)) * sin(θ)), (ρ_2 * cos(φ)), φ, φ_1, φ_2, θ, θ_1, θ_2) → f