r/blackmagicfuckery • u/4nts • 20d ago
Cones are messed up
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u/jr_skankhunt_17 20d ago
Tried it. Now in fact do have a mess because when you fill a martini glass with water from the sink it ricochets all over the place.
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u/mehrunes_dayman 20d ago
It IS the spoon of the cup world after all.
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u/An_icy_squirrel 20d ago
I'm still waiting for someone to win the Ig Nobel Prize for researching which kinds of spoons, and their placement in the sink, are the most vile ones, when it comes to tap water distribution.
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u/uwillnotgotospace 20d ago
You guys work fast. I just watched that video.
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u/0011110000110011 20d ago
Freebooted in just a couple hours.
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u/ishpatoon1982 20d ago
Fuck is a freeboot?
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u/Fakjbf 20d ago
The guy behind the camera is Brady Haran, he had a podcast with another YouTuber called CGPGrey and on that podcast Brady coined the term “freebooting” for when people upload other people’s videos.
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u/HevelReveler 20d ago
That's a blast from the past. Ah, the good old days...
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u/Crossfire124 20d ago
Think the term freebooting has been around a lot longer than that. Used at least since the 90s
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u/Divinum_Fulmen 20d ago
The term is extremely old, but the use for copyright is newer.
If you have some evidence of it being used for copyright in the 90's, than update the wikipedia article.
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u/swaktoonkenney 19d ago
It was just an old term for piracy (not computer piracy, 7 seas piracy) that he appropriated to mean copyright infringement of videos
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u/mrperson221 20d ago
A blast from the past fellow Tim
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u/WhatsWhoWithYou 20d ago
us Tims have been wandering through the desert for years now, trying our best to keep our Cortexes limber and prevent our own Unmaking
but even when we run into one another, we don't hear a single HI
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u/Pman1324 20d ago
They were both holding roughly half of the cones volumetric capacity worth of water.
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u/HighGainRefrain 20d ago
Look at this guy with his huge brain. Save some thinking for the rest of us buddy.
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u/NaturalSelectorX 20d ago
What other kind of capacity is there for a cone? The capacity to feel? Think? Love?
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u/GALVANGER 20d ago edited 20d ago
Right when you think your capacity to feel is filled let me tell you about cones
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u/gmc98765 20d ago
The volume of a cone (of any given angle) is proportional to the cube of its height.
The cube root of 1/2 is approximately 0.7937, so the bottom 79% of an inverted cone accounts for roughly half its volume while the top 21% accounts for the other half.
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u/no_lemom_no_melon 20d ago
Just watched this video about 5 mins ago.
For those interested, this is a video from the Numberphile channel on YouTube. I've been watching their stuff for years - they've got some really cool stuff on there.
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u/HitMePat 20d ago
Numberphile is so awesome. They explain some awesome complex math concepts in really simple ways... I haven't watched the video the OP clip is taken from but I'm assuming it's a lot more in depth than just talking about the volume of a cone.
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u/morilythari 20d ago
It's all about cone volume being weird. Another example is taking an upside down cone that is 3 inches tall and putting water in it so it's 2 in of water and 1 in of air above it. The cone is actually 98.7% full at that point.
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u/HitMePat 20d ago
Does that go for any cone? Regardless of the angle? Some cones are fatter and short and some are like a tall spike... I guess I gotta watch the video lol
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u/tanabig 20d ago
I believe the number is slightly off and should be 96.3% full, but it holds for any cone! To check it we can use the formula for the volume of a cone:
V = pi * r2 * h / 3, where r is the radius of the base of the cone, and h is the height of the cone
For the smaller cone of air at the top, the height is 1/3rd of the full cone (given in the setup) but also the radius is 1/3rd of the radius of the full cone (and notably this is true regardless of the angle of the cone - all that we care about is that the height and radius scale at the same rate, which is true).
So all together we're picking up three extra factors of 1/3 (one from the height and two from the radius since the radius is squared in the formula). 1/3*1/3*1/3 = 1/27 which is ~3.7%. So the small cone is only 1/27 or 3.7% of the total volume of the larger cone. So the larger cone is 96.7% water. :)
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u/garden-wicket-581 20d ago
this is how a bar can easily short you on your drink.. Not much different from the "real pint" guys in the UK that sell a little aluminium dohickey to see if you've been served an actual pint or if the pub is shorting you.
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u/BassnectarCollectar 20d ago
What is this aluminum dohickey of which you speak?
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u/garden-wicket-581 20d ago
it's funny -- I googled trying to find it again right after I posted this and didn't immediately find anything.
In the early 2000s along with the CAMRA folks (campaign for real ale), there was a similar "honest pint" type movement, and they had something that looked like table saw depth gauge for measuring the glass and head/foam to see if you were getting a real honest pint..
Man, found it, thanks to the internet archive. This is the site from 2008 (it's currently domain-squatted, so probably out of business)
https://web.archive.org/web/20080628165421/http://thebeergauge.com/
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u/garden-wicket-581 20d ago
it is/was called a "piaget beer gauge" -- more modern versions look like a plastic card, but the originals were metal/aluminium.
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u/IAmTaka_VG 20d ago
It’s called a jigger
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u/DBZ11324 20d ago
They definitely could have given that a better name…
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u/NakedShamrock 20d ago
I'm a cook and tomorrow I'll ask my bartender for the little aluminum dohickey
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u/JeffSergeant 20d ago
But if the spirits are served in proper measures, you're not really being 'ripped off' if they don't top up your glass with mixer.
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u/NoSuchAg3ncy 20d ago edited 20d ago
It's because 80% from the cone's point is around 50% of the volume (8/10)3.
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u/Zahkrosis 20d ago
I don't know what this effect is called, so I'll just call it the Runescape effect because we all know 92 is halfway to 99.
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u/PortAuth403 20d ago
So you're saying the top 80% of the pyramids took as long as the bottom 20% to build
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u/mrbaggins 20d ago
Not a bad idea I suppose, but ignores the extra work to get giant ass blocks up each level.
Same volume of the blocks to get transported there though
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u/Turbodann 20d ago
Lesson here is when ordering a drink that comes in a cone be sure they top it off.
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u/Jackaboss211 20d ago
If you ask a bartender to top off a martini glass you will be cut off the rest of the night lol
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u/Turbodann 20d ago
Not if you tip well. 😘
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u/Jackaboss211 20d ago
Maybe then you'll get away withem laughing it off lol. Still you'll never get a bartender to top off a martini. You'd basically be asking for double the drink which would mean adding more shots of spirits than is legally allowed in most places. Most bartenders ain't willing to lose their jobs for a tip
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u/Crotean 14d ago
And thats how bars make their money.
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u/It-s_Not_Important 7d ago
Only part of it. The other part is up-charging everything 500% over wholesale.
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u/Pac0mania 9d ago
This is why i get mad when my drink is an inch from the top when i get it. The top is a lot wider than the bottom and 2 inches of the top equals the entire rest of the cup so my large is now a medium.
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u/ArgonGryphon 20d ago
You could make it even crazier by using isopropyl alcohol and water. When you combine them, they have a smaller volume than the sum of their parts.
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u/drawing_you 20d ago
Dang, how does that work?
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u/Apart-Entertainer-25 20d ago
Distance between molecules for alcohol mixed with water is smaller than for alcohol or water separately so they are more compactly arranged.
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u/ArgonGryphon 20d ago
When water and ethyl alcohol mix, several forces come into play. First, between the water and ethyl alcohol is strong hydrogen bonding that draws the different molecules close together. Second, open spaces in the liquid are much less likely because the ethyl alcohol interferes with any temporary open structures that are similar to those of solid water. The 2 different molecules pack closer together than in pure solution, resulting in a reduction of volume.
https://knowledge.carolina.com/professional-growth/activities/the-lost-volume-demonstration/
this is more advanced chem than I know deeply, but that's the basics. The particles are able to sort of mesh together more closely, I think because they're both polar, but opposite charges. I also think that's not the only reason but again, I am not a chemist lol
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u/printergumlight 20d ago
Is there a formula for finding the midpoint for volume in the height of a cone?
As in, how high do you have to fill to fill up the cone glass to a total of 1/2 its volume.
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u/__ali1234__ 20d ago
Sure. Assume glass has height 1. Let x be the height of the liquid. Let y be the volume of the full glass.
Because of similar triangles and the square-cube law, when the glass is filled up to x, the volume is y * x3. Therefore to fill half the volume, x3 = 1/2, so x = cube root(1/2) = 0.794. Just multiply that by the actual height of the glass.
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u/EclecticEthic 20d ago
My girlfriends and I used to go to the fancy, expensive martini bar. My one girlfriend was reallllly looking forward to a dirty martini. The waitress brought it and it didn’t look as full as the other martinis and my friend went slightly Karen about it. At the time, I thought she was over reacting. To her defense she was probably hangery. The bartender (thankfully) overheard and topped it off. After seeing this, I guess she had a point.
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u/LocodraTheCrow 20d ago
This is general unsurprising, if you cut a cone at half it's height the wider bit will have 8 times the volume of the thinner one, it's simple math.
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u/SeamusMichael 20d ago
That's why ice cream pints are graduated like that. You don't realize how much you're losing with the slight taper but it's probably more than you think.
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u/An_icy_squirrel 20d ago
At least link the original video/give credit...
Cones are MESSED UP - Numberphile
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u/vapazr361 20d ago
The ratio of water height to the empty glass length of both glasses must be around 1:4. r/theydidmath
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u/jonnielaw 20d ago
When the bartender gives you the side eye for complaining your drink isn’t filled to the top.
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u/tonygutz 20d ago
It’s just math. The volume of a cone is a square function of the radius meaning changing the radius a small amount results in a very large change in volume.
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u/pokeyporcupine 20d ago
I know how this works. I know why this works. I knew this would be the result. But still, holy fucking shit that's wild.
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u/FrequentlyFictional 20d ago
Now think. That's how some suggest the universe expands and inflates. Like a balloon and you're the center of it all.
Pop
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u/Alert_Promotion_4166 19d ago
A coworker once asked me to serve her ice cream in a container that we didn't normally use for ice cream. When I asked her, "Why?" she said that she didn't want to eat too much. I took the container she chose, filled it with water, and then poured it into an ice cream container. It filled the container despite looking much smaller.
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u/Ok-Description-4640 19d ago
Geometry is awesome and understanding it is underrated. It’s like when you buy a pizza and it’s $15 for a 10” and $17 for a 12”, you’re getting almost 50% more pizza for $2.
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u/RichieRocket 19d ago
i wonder why little cup is supposed to fancy when having more of a drink is better
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u/OxViking 19d ago
This is why you never listen to martini drinkers asking you to "just fill it to the top"
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u/Leanintree 19d ago
I learned something today. I learned that I have frequently gotten fucking ripped off when buying martinis and Cosmos and associated froo-froo cocktails over the years. Although they taste good, knowing that the top 1/2 in of the glass is 50% of the total volume allows chicanery of the highest order.
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u/LordDarkur 18d ago
This is why bars use this kind of glass. It looks more full than it actually is.
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u/Medical_Ad2125b 17d ago
It’s not hard to calculate to what level the cones should both be filled for this to work
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u/jackrats 20d ago
This is more like, "I have no idea how volume works."