Math with Bad DrawingsCartoon Archive

Gabriel's Horn: Paint

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

The paradox of Gabriel's horn: it can't be painted (infinite surface area), yet it can be filled with paint (finite volume).

Transcript

[1] "Can you paint this for me?" [Gabriel's horn] "No. Absurd." [2] "But I can fill it with paint…." "You're weird."

Use this cartoon

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-paint/ (CC BY-NC 4.0)
Topics
Calculus › Integrals › ApplicationsCalculus › Volume › Solids of RevolutionCalculus › Improper Integrals › Gabriel's HornLogic & Proof › Paradoxes
Level
CalculusCollege
Themes
Visual Explanations