Cereal box math fail
55sShows a real product with obvious math errors, sparking curiosity and outrage.
▶ Play ClipThe video critiques a Kellogg's cereal box that uses mathematical equations to argue that spherical donut holes deliver more glaze than torus-shaped donuts. The host identifies a typo in the torus surface area formula and unpacks the marketing claim, ultimately agreeing that spheres provide a thicker glaze layer when the same amount of glaze is applied to equal volumes of cereal.
The host expresses major issues with the back of a cereal packet, highlighting a confusing mathematical diagram and equations.
The box features a blueprint effect on 3D objects. There is a typo in the torus surface area equation: a '2' instead of a '4', which the host calls the mathematical equivalent of a typo.
The host explains that Dunkin Donuts' marketing gimmick sells the dough punched out from donuts, though in reality, donuts are formed as rings. A video shows a machine stamping donuts from a sheet, leaving dough in the middle.
The host compares a glazed sphere (donut hole) to a glazed torus (donut), noting that the sphere in the picture is larger than the torus, so the comparison is not to scale.
The claim 'donut holes are the perfect shape to deliver more glaze' is mathematically backwards: a sphere minimizes surface area for a given volume, so it delivers the least glaze, not the most.
A Reddit user contacted Kellogg's, and Connie from consumer affairs explained their logic: for equal cereal and glaze mass, the sphere has less surface area, resulting in a thicker glaze layer.
The host agrees that if 'more glaze' means thicker glaze, Kellogg's is correct. The sphere builds up a thicker layer of glaze when the same amount is applied to equal volumes.
The host bakes a hemispherical cake and a half-donut cake with equal cake volume, then applies the same amount of icing. The sphere ends up with a much thicker icing layer, confirming Kellogg's point.
Despite the typo and poor wording, the host praises Kellogg's for including maths in marketing aimed at children and encourages them to fix the typo and improve phrasing.
Kellogg's marketing claim, though poorly worded and containing a typo, is mathematically valid if 'more glaze' means a thicker layer. The host encourages more maths in marketing and urges Kellogg's to fix the typo.
"The title accurately reflects the content: the video examines a flawed maths marketing claim and ultimately finds it partially correct."
What is the correct formula for the surface area of a sphere?
4πr²
1:18
What typo appears in the torus surface area formula on the cereal box?
A '2' instead of a '4'.
1:34
Why is a sphere the most efficient shape for minimizing surface area relative to volume?
It is the optimal 3D shape to minimize surface area to volume, proven in the 1970s.
7:02
What does Kellogg's claim about the sphere and glaze?
For equal cereal and glaze mass, the sphere has less surface area, resulting in a thicker glaze layer.
12:51
What was the result of the host's practical demonstration with cakes?
The sphere had a much thicker icing layer than the torus when the same amount of icing was applied to equal cake volumes.
17:22
Mathematical Backwardness
Reveals that the marketing claim is the opposite of mathematical truth: a sphere minimizes glaze, not maximizes it.
6:21Kellogg's Correct Interpretation
Shows that if 'more glaze' means thicker layer, Kellogg's is mathematically correct, changing the perspective.
13:42Practical Demonstration
Provides visual proof that a sphere yields a thicker glaze layer, supporting Kellogg's claim.
14:36Encouraging Maths in Marketing
Promotes the inclusion of maths in marketing despite flaws, advocating for better communication.
18:37[00:00] I have some major issues with this cereal packet.
[00:08] the cereal section, pick up a packet, and on the
[00:15] with the front of the box. I have a major issue
[00:22] is genius. Hang on, let me bring it over here.
[00:29] What is this? We did the math. Donut
[00:35] more glaze. The area of a sphere equals
[00:45] uh 2 pi squar r r r r r r r r r r r r r r
[00:55] Oh yeah, I um printed them out.
[01:01] Okay, things we have to deal with straight away.
[01:07] object. I don't know what's going on there, but
[01:12] Kelloggs in that regard. Um, there is a typo. So,
[01:18] equation of the surface area of a sphere. That
[01:23] the surface area of a Taurus, which features pi
[01:28] tao. And they put it in brackets for no obvious
[01:34] instead of a four. That's harder to forgive, but
[01:40] I wish they would fix it. If they had a spelling
[01:44] been putting this out for a while that they've got
[01:49] it. So I am annoyed at that. But it is a little
[01:55] problems with the whole concept they're trying
[02:00] first person to get annoyed at this box. Other
[02:04] information. Very exciting. Get to that in a
[02:09] annoyed at just the maths. And I showed this to a
[02:14] got annoyed for subtly different reasons. And so I
[02:22] Kelloggs could mean and eventually what they do
[02:31] void in the middle of the donut. Well, here's the
[02:37] where they, as a marketing gimmick, sold the dough
[02:44] they get punched out. And actually, I've scaled my
[02:50] to be the hole from the middle of a donut, but
[02:54] you the hole. And a lot of people think that's
[02:58] because that's not how you make donuts. You just
[03:02] some boiling oil or something. So, there is
[03:07] looked it up. Producer Nicole found this a video
[03:11] Donuts because obviously that's happening at some
[03:18] of doughut ooze and then they stamp out donuts
[03:27] dough from the doughut holes. Now whether or not
[03:33] sell feels very unlikely. I imagine it just gets
[03:38] in between the donuts? I don't see them selling
[03:47] I'd buy that. What a delicious snack. You could,
[03:52] the point is the gimmick was it's the dough from
[03:56] dough in the middle. I don't think they actually
[04:00] American cuisine there is the notion of a donut
[04:09] sphere. The second part of the name we need to
[04:17] holes, they've glazed them, as I believe the kids
[04:24] to put this kind of pure sugar all over. And then
[04:32] put pure sugar all over. And they're trying to
[04:40] when you're smearing a sugary glaze on it. And
[04:48] very naively. No, if this was the donut and that's
[04:56] Like, if you had to glaze all of this, that's way
[05:01] what we're talking about. In fact, the picture
[05:08] we can already accept that no, we're not talking
[05:16] But does that mean maybe big R is the same?
[05:22] and you could solve for that like if you solved
[05:30] the same area for both. And if it was any bigger,
[05:36] more area on the sphere. But that's just it's a
[05:45] to a certain extent. It depends obviously on the
[05:52] Um but I don't think I don't think that's what
[05:57] the equations just represent that radius of
[06:04] are the same. And when you look at a big list of
[06:08] they must all have the same height or whatever."
[06:13] I think what we're actually talking about is just
[06:21] Finally, we're going to get to the point a lot
[06:24] very beginning of this video because they say, "We
[06:29] to deliver more glaze." And you've been yelling,
[06:35] rigorously to deliver the minimum amount of glaze.
[06:43] way to maximize your volume, the amount of cereal,
[06:50] glaze. So, it's the exact opposite of what they're
[06:56] glaze you need, you'd go spheres. If you want more
[07:02] Taurus. Now, side fact, proving that a sphere is
[07:11] volume. Non-trivial. I think it was like the
[07:17] somewhere, right? Like complicated. And we'll
[07:23] but it is true. This is if you want to minimize
[07:29] mind your decisions did a whole video about this.
[07:34] happens when you donutify a sphere and how that
[07:42] principle of this argument is that would be if you
[07:51] So, if every piece of cereal is the same amount
[07:56] like you've got your your quantum of cereal and
[08:02] the record, Kelloggs don't even make loops of
[08:09] on about donuts. They don't do any donut shaped
[08:14] guess it's flake shaped. It's like a probably like
[08:20] oh, the machine gives a certain amount of
[08:25] we mold it into? Sphere is the worst
[08:32] equal cereal per cereal. Actually, how
[08:41] About yay big.
[08:52] Max flavor.
[08:57] The top two ingredients are
[09:04] infilled sphere purely as a mechanism to
[09:22] They somehow as piping submerged in
[09:32] I've made some weird career choices. I
[09:38] Just literally eating a bowl of cereal
[09:45] you better keep watching.
[09:52] Now, where this gets interesting is a Reddit
[10:00] reached out to Kelloggs, expressed the concerns
[10:08] Kellogg's side of the story. Connie from their
[10:16] They had a bit of back and forth. I'm going
[10:21] from Connie lays out their logic behind
[10:28] "Oops, you got us." No, they came to play. As we
[10:36] the most efficient mass to surface area shape.
[10:43] that's the founding premise of why people are
[10:48] it's curious that they're establishing what seems
[10:56] argument. But there you are. At least we all
[11:03] when holding the glaze percentage constant, both
[11:15] mass and serial mass. Okay, now this one takes
[11:23] of marketing speak and maths babble. Uh uh what
[11:32] assumption we were discussing before if you've
[11:38] it's the constant serial per serial. So when
[11:44] and cereal mass I believe they're saying and
[11:49] do loops or donut holes it's the same amount of
[11:55] out is it oh is it the one that matches etc. No
[12:00] volume of the sphere if you're choosing between
[12:05] they say it's the same glazing mass. So not only
[12:12] they're also holding the amount of glaze
[12:20] less surface area than a loop for the same serial
[12:31] of paws? Are they saying it's absorbent? Let's
[12:40] we agree. The sphere has less surface area than
[12:45] all on the same page. Closing statement. When
[12:51] why do they keep saying mass? The sphere will
[12:59] to the limited surface area in comparison to the
[13:09] you have the same amount of cereal in both cases
[13:14] the Taurus, you're going to have to spread it out
[13:20] is the optimal shape to build up the thickest
[13:29] glaze is indeed more for some definition of more.
[13:42] the perfect shape to deliver more glaze. They mean
[13:51] we should ignore the fact that they they you can
[13:58] as mathsy as possible. They keep referring to
[14:05] percentages. Like, okay, we appreciate that, but
[14:11] to be thicker. And you know what? I I agree with
[14:18] any possible doubt, I'm going to take take a leaf
[14:25] to we're not going to glaze some loops and some
[14:36] Here's the plan. I'm currently being very uplit
[14:45] things and producer Nicole here has first of all
[14:52] this one? Uh this is plain plain plain sponge.
[14:58] now got. Hang on. Spherical cake. Right. So, we
[15:09] sphere. And more more in a moment on that. We now
[15:16] here? This is coffee and walnut. Coffee and look
[15:23] half a donut. So, in theory, again, hold that up.
[15:29] in. It's adequate. Completely adequate. And these
[15:37] amount of cake. There it is as a sphere. There
[15:43] still works. And finally, we have the frosting.
[15:52] to put exactly the same amount of frosting on
[15:58] cakes as I put the frosting on them. How can this
[16:06] going to go wrong. Oh, it's got a delicious skin.
[16:13] calling it. There we Okay, all I got to do now,
[16:24] So, I think I think we can all agree it's only
[16:31] for Celebrity Bake Off. Imagine this in a tent.
[16:41] I had to spread the icing way thinner on this
[16:49] I didn't even have enough to really do that
[16:54] Exactly the same amount of cake. Exactly the same
[17:00] now if I cut uh permission to cut these in half.
[17:09] this one I'm going to do in two cuts. Stressed
[17:17] You know, I'm going to do both cuts
[17:22] So, here we go. Big reveal over here. You can see
[17:31] ended up being. And I'm This is me doing the
[17:37] here in Sphere Town, look at that. There. So,
[17:46] as you can see, the sphere is the perfect shape
[17:58] You know what? Kelloggs have convinced me. I'm
[18:04] have the thickest glaze possible without
[18:08] these dose do not need any more sugar. Sphere.
[18:14] for no more added sugar. You get a thicker glaze.
[18:20] as red is not good and the typo. Fix the t.
[18:27] have emailed you and you not responded and we've
[18:32] typo and we're cool because I think you've got a
[18:37] technobabble language. And more importantly, I
[18:43] Kelloggs or indeed any any brand who want to put
[18:50] get more maths and culture like this is clearly
[18:56] there. That's great. We should encourage that
[19:00] and fixing their typos and phrasing it better. But
[19:06] so in conclusion, Kelloggs, your your maths,
[19:15] Keep it up. Just turn that turn that two into a
[19:22] email to say they don't reply to that sort of
[19:28] or we're not getting through to the right person.
[19:33] This is a fun video to do and I don't think that's
[19:37] I really appreciate that. Oh, I'm on tour again.
[19:42] the UK. Sorry people in America. You have to
[19:48] we're doing the Reading Hexagon on the 4th of
[19:55] and it's called the Hexagon. And I insisted that
[20:00] very embarrassing if we don't have enough people.
[20:04] nights before. Um they got a big paraboid at the
[20:11] a lot of fun. And we end in Manchester, Sulford,
[20:17] well me to do. I assume the audience also have a
[20:21] links are below. Last night, however, spoke about
[20:26] detail. That's my uh intimate nerdy variety night
[20:33] our buddies talk about things in unnecessary level
[20:38] just talking to the audience, getting their
[20:42] who comes along to Unnecessary Details. If you're
[20:47] March and June. Uh it's not a big room though,
[20:52] of fun. Come along. Uh and that's it. Uh thanks
[20:59] all on tour. Why should I eat more and um if you
[21:06] It's a lot of fun. Or bring a box. I'll sign
[21:15] They just get worse every mouthful. It's
[21:32] Cereal artificially flavored. Tony Glazo.
⚡ Saved you time reading this? Transcribe any YouTube video for free — no signup needed.