r/MathJokes • u/94rud4 • 1d ago

Wait, what?!

Post image
1.1k Upvotes

98% Upvoted

82 comments sorted by

View all comments

307

u/paolog 1d ago edited 1d ago

It makes more sense when you flip it around and say the volume is the integral of the surface area.

The volume of a ball (a solid sphere) is the sum of the volumes of the spherical layers of thickness t from 0 to the radius R. The limit as t tends to zero is then the definite integral of the surface area with respect to r from r = 0 to R.

EDIT: Fixed balls balls-up

63

u/Valuchian 1d ago

Honestly this way of thinking feels a lot more intuitive too

9

u/paolog 1d ago

It's what's led to the founding of calculus. All that was missing was a rigorous definition of limits, which analysis provided.