Sphere Volume Visual Proof
An animated derivation of the sphere volume formula using Cavalieri's principle, comparing cross-sectional slices of a hemisphere to a cylinder with a cone removed. Matching disk areas at every height show why the two solids share the same volume, leading directly to V = (4/3)πr³. Useful for geometry students learning integral-free proofs and for teachers introducing solid geometry before calculus-based volume methods.
9:16 · every frame verified for overlaps, spacing and edges before rendering
The prompt that made it
Visual animation proof for sphere volume
Make the next one in this series
- Show the visual proof for the volume of a cone using similar slicing methods
- Animate Cavalieri's principle with two skewed stacks of coins to build geometric intuition
- Derive the surface area of a sphere using an orange-peel unrolling animation
