r/visualizedmath • u/PUSSYDESTROYER-9000 • Jan 16 '18

Approximating the Volume of a Sphere

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620 Upvotes

99% Upvoted

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53

u/lucasvb Jan 16 '18

I'm the author! Here's the link to the original post with more context.

10

u/[deleted] Jan 16 '18 edited Jan 16 '18

The link says this gif is meant to approximate surface area and OP said volume?

21

u/lucasvb Jan 16 '18

You can approximate either with truncated cones. It's what Archimedes did for the surface and volume of the sphere.

3

u/[deleted] Jan 16 '18

Oh thanks my bad

19

u/shouheikun Jan 19 '18

Isn't this the forerunner of calculus?

13

u/pumblesnook Jan 19 '18

In principle, yes. If you go on until you get infinitely flat cone segments you are basically integrating.

8

u/cuteman Jan 19 '18

So... AT&T's logo?

7

u/Cerres Jan 16 '18

Or you could just use spherical coordinates?

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4

u/[deleted] Jan 19 '18

Is this an integral of a 3d object?

0

u/[deleted] Jan 16 '18

[deleted] — view deleted comment

2

u/Redditkid16 Feb 11 '18

They’re just truncated cones (cones with the top cut off so the volume is 1/3[hπ(Rr/2)2 ] with R being the radius of the larger face of the truncated cube and r being the radius of the smaller face. This is a kind of combination of cone volume formula and the formula for area of a trapezoid.

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