Math Thread. Derive The Volume Of A Sphere With Calculus. Winner

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>Use handwriting.

>>8547911
what r u lazy

int[0..R](4πr^2)dr=(4/3)πR^3 -- concentric shells

>>8547928
Dude you need to use 3 integrals. all steps. ahndwriting.
not permitted to be nominated.

>>8547906
Peel the sphere like an onion and lay the layers out flat and one on top of the other.
You know have a cone of base area 4*pi*r^2 and height r therefore the volume is 4/3*pi*r^3

>>8547956
no, you dont know nothing to begin with. you need the steps to get nominated.

>>8547906
Just do the revolution of half circle, then multiply times 2

>>8547906
do your own homework, faggot

>>8547999
xD its not my homework.

integrate 1 from 0 to V where V is the volume

>>8547999
trips kek

>>8548005
yes. you can either integrate in spherical or kartesian coordinates. i know the answer but you need to do it fgs. i have given you the duty.

>>8547992
no need for that.

>>8548011
use the Haar measure

>>8548040
well, thats maybe a bit overshooting dont you think ?

>>8547906
>Do my calc2 homework for me
No

>>8548003
>xD
Do your homework, faggot.

>>8548062
lol thanks but its no homework. if i wanted solution i could simply look into a sctipt. its aboutr you writing a nice solution and being no faggot.

But im not qualified to do triple integrals yet.

>>8547906
Just use cylindrical coordinates and then a >triple integral you fucking idiot.

>>8547906
>implying you don't learn this in first semester calc in high school

Jesus, retards really are ruining this board. You should take analysis and algebra at least before posting

>>8548074
well, why are you ranting ? either you have fun just remembering how to do it and write it fast down (itn not even 2 lines of text) or just ignore the thread.
why is it ruining anything for you ?

>>8548073
lol its a sphere
>cylindrical coordinates

well played m8

but i need

>spherical ones

>>8548071
hey if you like to try do and i will give you tips.

>>8548074
its about doing it without help m8.... thats the point of this. if you have no love 4 this its not my fault

>>8548074
well also we didnt learn it in high school m8. in university yes high school no

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triple integral of a sphere radius r using spherical coordinates

>>8548117
>doing homework for the handicapped

>>8548117
ok nomiation accepted.
its not really nicely written thought.
If there are no other nominations, you won.

have fun.

>>8548117
also "cos=-sin"
>wrong.
you loose points.

>>8548126
yeah i meant the d/dx cos = -sin ,,, i did it in 5 seconds

>>8548117
>>8548126
i know you mean derivative but its not written. also no date.

>>8548131
aids lolo
but make more of these !!

>>8548134
really you like the thread ? :D thanks m8

>>8548136
hell yeah i do! I'd especially like it if the people who just howl " lleeelelel homework help" actually tried the problem

>>8548149
it's literally trivial and totally uninteresting given that it is something known since antiquity. get an interesting problem

>>8548154
He did it real fast.
So theres the challenge.
Also for many people its not trivial.
Maybe i will come up with more interesting for you sometime but not now. thanks for feedback.

>>8548154
And if its trivial, you still dont need to cry about "oh homework guy" especially when its to find everywhere.

>>8548156
if it's not trivial to you then you don't know any math, honestly.
for many people solving a quadratic equation is not trivial, that doesn't mean it's appropiate to put that here

>>8548172
you could propose non trivial problems to OP and perhaps develop problem of the day , or week etc thread?

>>8548174
bring something from project euler maybe? that seems about right for this board. or IMO problems. low theory required, can be high difficulty

>>8548172
well, we had a guy who didnt know how to do it and a guy who solved it and had fun. is that not enough ?
If you dont like it - why dont just ignore it then ?
There are many threads here i would consider trivial so wheres the problem with that ?

>>8548176
project euler would be rather interesting,,

hmm with IMO math maybe we could do a rather introductory level olympiad questions , that would be cool beans

You don't even need a triple integral for it, it's easy to do with a single integral

>>8548174
I support this idea.

I just have 1 year of pure mathematics undergrad under my belt so I would get rek'd but I like having something to think about for when I'm bored.

This would be really, really nice.

>>8548074
>You should have autism at least before posting
ftfy

I'm not against "models" of Reality: I'm for questioning all the stupid teachers that said x was "right" because they said so. I love chemistry models of nutrition. But to calculate this...

Calculus based on x2+y2=z2, on reports of a "pythagoras."
Unless you trust guys who've trusted other guys, that trusted guys before them (when most of them can't say how the gadgets that measure age "electronically" function). Some smuck stood up and babbled over-confidently 'the earth is 5.23 million years old from the time it was "not" massed/volumed as a planet to the following year that the mass of rock "was" a planet; I've calc'd it and I'm right +/- 5% 19 times out of 20, except in a full moon.'

And all of this xy-intersect calculation without a z-axis being considered, or tilt or deformity

All of it representing a circle (perfect) or sphere that does not, as far as I've seen, exist: except hypothetically.

Furthermore, we have a notational math system that cannot "truthfully" represent the answer except with "approximations" (that does not have a representation of the reaching from one static distance to the "next" static distance, unless your model for Reality is static and if only the answer then what good a static answer in a dynamic environment).

And good for what: calc'ing ballistic missile trajectories.

>>8548174
>>8548176
>>8548229

We got one going. First question is easy but if you have any harder ones to suggest sent email [email protected]

>>8548304

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>>8548414
>posting your e-mail on 4chan
not even being new excuses this level of stupid

>>8547906
[math]
\iiint_E \rho^2sin(\phi)d\rho d\phi d\theta = \frac{r^3}{3}(2\pi)(2) = \frac{4}{3}\pi r^3
[/math]

>>8548416

This is probably the 50'th time I've posted my email on 4chan. Nothing ever happens. I don't want to be one to invite danger but only newfags actually worry about people doing bad shit to you over the internet.

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Prove me wrong

Protip: you cant

>>8548449
>nothing ever happens

because /sci/ is both a) a slow board and b) a smart, not very malicious board

i just hope to god you don't post it on /b/ or /r9k/, or worse, frequent those hell holes

Archimedes didn't need calculus for this. Why do you?

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>this thread

>>8548463
why what happens ? i am frequently on /b/

>>8548715
kek

>>8548459
OP here.not nominated.

>>8548482
Newton could have computed 1848.82543x43.4243655425 without punching it into a calculator

why don't you do it by hand?

>triple integrals
>on /sci/
Nicely meme'd.

>>8548772
why ?
wheres the meme in that im new here
>OP here

>>8548772
also a guy solved.

>>8548798
>pretending not to know about triple integrals
>baiting this hard

>>8548808
i never pretended not to know about them.
>why did you even think that

>>8548818
I'll bite.

They're literally a /sci/ meme since most of /sci/ are math/engi undergrads who've taken and (maybe) passed Calc 2 and Calc 3. They're a pain in the ass to do by hand and probably the most intimidating thing to look at and do for any of the SUPER freshman undergrads who are in the middle of or have only passed calc 1. They're not hard whatsoever and the meme just kinda perpetuated for some reason even though they take the same process as any other integral to resolve... There are even threads about MIT vs Harvard in the "Field of triple integral research" with a """""witty""""" joke about a "quadruple integral research paper" thrown in there.

>>8548989
haha so i memed without even knowing.
>kek
thanks :D

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>>8547906