The least-metal can: height = diameter #shorts #maths #shortsfeed
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Ever notice every drink can is roughly the same proportions? That's not an accident — it's CALCULUS minimizing metal. A can holds a fixed volume: V = π r² h. The aluminium it takes is its surface area: A = 2π r² + 2π r h. Hold the volume fixed (h = V/πr²) and the metal becomes a function of the radius alone: A(r) = 2π r² + 2V/r Take ...
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