GeoGebra
GeoGebra
  • Volumes and Surface Areas of Pyramids, Cones and Spheres
  • Cavalieri's Principle
  • Volume of Pyramids
  • Curved Surface Area of Cones
  • Volume and Surface Area of Spheres
  • Volume of Spheres and the Double Box-lid (牟合方蓋)
  • Relationships between Volumes and Surface Areas of Similar Figures

Volumes and Surface Areas of Pyramids, Cones and Spheres

Author:
Anthony OR 柯志明, GeoGebra Institute of Hong Kong
Topic:
Area, Cone, Pyramid, Solids or 3D Shapes, Sphere, Surface, Volume
GeoGebraBook for elementary proofs of the formulas for volumes and surface areas of pyramids, cones and spheres.
Volumes and Surface Areas of Pyramids, Cones and Spheres

Table of Contents

  • Cavalieri's Principle

    • Cavalieri's Principle
  • Volume of Pyramids

    • Trisecting the Cube into 3 Pyramids "Yangma"(陽馬)
    • Volume of Pyramids
    • Volume of Pyramids - Chinese Proof
  • Curved Surface Area of Cones

    • Curved Surface Area of Cones (Combined Version)
  • Volume and Surface Area of Spheres

    • Volume of Spheres
    • Surface Area of Spheres
    • Volume of Spheres with Proof
    • Surface Area of Spheres with Proof
  • Volume of Spheres and the Double Box-lid (牟合方蓋)

    • Volume of Spheres in Nine Chapters on the Mathematical Art《九章算術》的球體體積公式
    • Tracing Double Box-lid (Mouhefanggai 牟合方蓋)
    • Double Box-lid (Mouhefanggai) 牟合方蓋面面觀
    • Double Box-lid (Mouhefanggai 牟合方蓋) as Intersection of 2 Cylinders
    • Volumes of Mouhefanggais and Spheres 牟合方蓋和球體的體積
  • Relationships between Volumes and Surface Areas of Similar Figures

    • Volumes and Surface Areas of Similar Cuboids
Next
Cavalieri's Principle

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