Math with Bad DrawingsCartoon Archive

Gabriel's Horn: Medium Cup

October 8, 2019From the book Change Is the Only Constant

A coffee shop's medium cup is Gabriel's horn: infinitely long, yet it holds only π liters.

Transcript

[Cups: SMALL 2 liters · MEDIUM, a Gabriel's horn, 3.14ish liters · LARGE 4 liters] "Wait… your 'medium' is infinitely large?!" "Of course not! I mean, sure, it's infinitely LONG, but…"

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2019-10-08-gabriel-s-horn-medium-cup/ (CC BY-NC 4.0)
Topics
Calculus › Integrals › ApplicationsCalculus › Volume › Solids of RevolutionCalculus › Improper Integrals › Gabriel's Horn
Level
CalculusCollege
Themes
FoodVisual Explanations