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Surface Area & Volume of Cones and Spheres

by Anonymous · 1 · 🍴 0

Fill and unfold them to make the formulas come alive. Compare a cone with a cylinder to confirm its volume is exactly 1/3, unfold its side into a sector, and compare a sphere with a snug cylinder to discover the 2/3 relationship.

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About this app

An interactive middle-school geometry app for exploring the surface area and volume of cones and spheres. Adjust cone radius and height to verify that a cone has one-third the volume of a matching cylinder, unfold the cone’s side into a sector, and compare a sphere with its snug cylinder to see the two-thirds volume relationship.

Use cases

  • Middle-school students learning solid geometry
  • Teachers demonstrating cone and sphere formulas
  • Learners investigating how radius and height affect measurements
  • Classroom or self-study activities on volume and surface area

Features

  • Interactive cone and cylinder volume comparison with adjustable radius and height
  • Step-by-step unfolding of a cone’s side into a sector
  • Displays the slant length and explains its relationship to the sector radius
  • Sphere volume and surface area calculations for adjustable radii
  • Optional comparison with a snug cylinder whose height equals the sphere’s diameter
  • Mission-style activities with reset and next controls