Surface Area & Volume of Cones and Spheres
by Anonymous
Fill a cone into a cylinder and unfold its lateral surface into a sector to see why the volume is 1/3 and why a sphere fills 2/3 of its cylinder.
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About this app
An interactive middle-school geometry app for exploring the surface area and volume of cones and spheres. Compare a cone with a matching cylinder to see the 1/3 volume relationship, unfold a cone’s side into a sector, and compare a sphere with a snug cylinder to verify the 2/3 volume relationship.
Use cases
- Middle-school students learning solid geometry
- Teachers demonstrating cone and sphere formulas
- Independent practice with radius and height changes
- Visual learners exploring volume ratios and nets
Features
- Interactive cone-versus-cylinder volume comparison showing the 1/3 ratio
- Cone side unfolding into a sector with slant length and base circumference relationships
- Sphere comparison with a cylinder whose height equals the diameter
- Adjustable radius and height controls
- Guided missions with reset and next-step buttons
- Displays cone and sphere surface-area and volume calculations