Lab: The ⅓ Explorer
Drag the sliders and watch: a cone always fills exactly one-third of its cylinder, and a sphere always fills two-thirds of its box.
Experiment 1 — Cone vs cylinder
Same radius, same height. How much of the cylinder does the cone fill?
Cylinder
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Cone (same r, h)
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Experiment 2 — Sphere vs its box
A sphere of radius r inside a cylinder of radius r and height 2r. What fraction does the sphere fill?
Cylinder (r, 2r)
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Sphere
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