Related Rate Cone Problem

This video is part of the Calculus Success Program found at www.calcsuccess.com
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[@THEPOLCO]

What monster creates these problems..

[@TurtleLuv7890]

thanks very much and to those concerned individuals stop cursing if you dont like it then just press the stop button how hard is that.. as already pointed out by others some people appreciate thorough explanation for new materials

[@mprizola1]

This is so good! It covers the basic and most common exam question in Maths Methods (Australia) in Related Rates! Good revision, great video! Thank you!

[@nandukitty6769]

Saw some comments but how this video uses an alternative method and long. Definitely not true. Bless, I decided to watch it regardless. Extremely useful! Thanking you:)

[@beoptimistic5853]

kzbin.info/www/bejne/joGmmHqKbqefqLM

[@alejandrocanas6744]

It's definitely a great example and a different way to approach this problem, but I'm left a bit more confused after watching this.

[@RWAR238]

This was really helpful! I'm so glad you went slow some of the other video were done before I had written any of the information down! Thanks!

[@XTC2525]

doing a problem on an exam vs. explaining a problem are 2 different things. this vid explains a problem so taking extra time to go through the steps is perfectly fine especially if he is targeting those who are struggling with related rates. you have to understand what you're doing first then speed will come later

[@jasonquiveiro8501]

You have the case where you have two unknown variables, however; you are given a radius(6) and a height(10) which are proportional to the smaller triangle of the cone. You can label the smaller radius as "r" and the smaller height as "h". Then you simply set 6/10 = r/h.. You want to solve for "r" which is 6h/10 and plug that in to your "r" in the derivative. Hope this helps

[@popcorn10124]

whoever made this...i love you

[@tornenic]

thanks a million, that was done very well, and on the fly. calc midterm tomorrow and that made my day much easier :D

[@KateInTheCity]

I mean,..... a good alternative method but you make that way more long and drawn out than it would be to use the chain rule to derive the equation. Good job though

[@shaun4311]

You use the chain rule when you have a function inside of another function, which doesn't apply at anytime to finding the derivative of this problem.

[@billofrights5064]

Sean Zildjian h is a function of t, so by the chain rule, dV/dt = (dV/dh)(dh/dt) which is the derivative of the outer function, V(h), multiplied by the derivative of the inner function, h(t).

[@powercrazy11]

Nice video, this really helped me understand tonights homework.

[@ikeybenzaken5330]

"And that's it."

[@tyler_schecter5805]

Definitely different from what I was taught and it left me confused.

[@shadowhunter9148]

thx mate, the second u said similar triangle, I knew how to do alr

[@eliasgarciaclaro6136]

This was a perfect explanation, thanks

[@beoptimistic5853]

kzbin.info/www/bejne/joGmmHqKbqefqLM 👍💐💐💐

[@MrSuperchargedv8]

The square root calculation is correct...the final answer i got was approximately -.00135 not the answer posted unless of course i did something wrong but i don't think so... ANY help is always good. You learn from your mistakes.

[@kazumukai555]

never seen a calculus channel with an intro lmfao chill dude it's maths

[@EpicNob101]

Thanks man, this was so much help. I subscribed.

[@user-et6ri2jo9g]

Thank you so much, this was very helpful ! :)

[@tyronewilson8214]

he has the technique, but, did make a mistake when substituting for 'r' at the 7:17 mark of the video. he squares 3/5 to 9/25 and leaves it raised to the 2nd power. if he leaves it at 3/5, 'h' comes out to an even value of 10. if i'm wrong, someone please explain.

[@feranmiakinde3024]

Is the level of water increasing or decreasing?

[@oriondrums2]

god damn that intro scared the shit outta me

[@mkayzondy]

great video......THANK YOU

[@ilikeargyle]

this helped! :D thank you so much, for explaining all the steps :)

[@phunkgurl23]

its really helpful...THANK YOU!

[@opalkovochka07]

the cube root of 5000/3pi is not 8.20 but rather 17.36 I believe you made a calculation error

[@m4rtincz]

how does the similar triangle trick work?

[@judesj0232]

thank you!

[@xUmberBlackstonex]

Thanks a bunch-- that really helped :)

[@DevanTheDean]

why at @8.37 must times dV/dt with dh/dt ?

[@michaelmoleele1754]

Helping indeed

[@jonathantea913]

@8:10 why did u not take d/dt of the constant? (3/25*pi) ?

[@jonathantea913]

oh i see .. the constant is part of h.

[@valmoya3703]

Thanks!!!

[@ranz113]

no shortcut for this?

[@JNeroH619]

@123rabblerabble LOL youre wrong you entered it wrong into your calculator...... its Cubed root of 5000 / (3Pi) NOT cubed root of 5000/3*Pi learn your order of operations

[@1matth3w1]

Respond to this video... how did you get 8.1? cause when i computed 3 sqrt 5000/3 pi i got approx 17.36465693...

[@MSFAO]

why is the answer -0.13cm/sec mine was -1.33cm/sec.. hmmm am I right? or wrong?

[@nevikgnehz368]

I got -1.3 cm/sec as well. Hmmm

[@tenn4185]

-(10)/(23.6*pi) = - 0.13 or you leave it as -(25)/(59pi)

[@unknownpompi]

what going to happen in an exam when you don't have much time?

[@CountSabatee]

YAY THANKS!

[@longjonsilvers802]

Guy used like a whole bottle of white-out

[@SonofMagnus1]

Awesome video bro

[@perlahernandez9419]

Thank you!!!!!!!!! subscribed :)

[@bengreen6253]

can i use dh/dt to find dr/dt?

[@d1sk0v3rYcH4nN3l]

you don't have to just solve the (r/h=6/10) proportion for "h" and get it in terms of "r". then plug it back into the equation (V=(1/3)pi*r^2*h) for "h". Then take the derivative and you can solve for "dr/dt".

[@naciandaley4659]

good video.

[@emblue23]

THANK YOU!!!!!! :D :D

[@TheSergecj]

You know what would be cool? If i write a progran with animation with all these variables changing in time, and then make a video of it

[@adamwri00]

I agree with xtc2525. I'm not good at calculus at all, so I needed the explanation you gave. Thank you very much. I was stumped on the whole r/h thing.

[@endlessocean591]

thx fam

[@Frankb1927]

8.09530021002 is a infinite number but can be simplified to 8.10 because the 9 is greater than 5.

[@_s_p_a_r_k_e_s_7615]

Nice vid

[@hand__banana]

He's allowed to complain without you getting your panties in a twist.

[@DeStraatz]

how about stop crying, he did it well and made it easy to follow and didnt skip steps.

[@flawns]

I wonder how many people responded to you comment

[@cryoian5288]

WHY ARE THERE 3 H'S

[@dimateo9800]

Wait!!! WATS happening on the train trainglez, I'm lost

[@someone20ify]

explain that to him not me! I was correcting him because he said cube root of (5000/3pi ) is 17.36.

[@jokerasa5658]

it could be a good method but all the kinda question are easy.....

[@XTC2525]

@biglittle202 omg dude theres nothing wrong with taking a long time to do a problem. You may not know this but there are some people out there who need to take things slow when learning new material. I know this is an old post but that had to be said

[@Hekeepsitclassy]

cube root of 5000/3pi is 17.36?

[@ahmedshehab492]

I think you have to repair your calculator😂😂

[@omgomgomgholyy]

i see a professional explosive intro then it goes to a crappy camera quality lol 😂

[@antoniocastellanos3830]

Sam Bonia looks fine to me must be your stupidity you know you can increase the fpm

[@antoniocastellanos3830]

Sam Bonia looks fine to me must be your stupidity you know you can increase the fpm

[@fuckingradical1]

i was halfly doing it for fun:3

[@RedDragonX32]

wow.. my professor isnt gonna be that hard and give me something like this. xD pick your teachers wisely ~ but i understood it. just going over for review. lazy moment =D

[@TheThe1Rose]

i think calculus makes me sleepy or maybe i should get some more sleep.

[@sinfall5280]

well he isn't here to entertain us

[@remyboy1002]

were school to rates economics NOT FORGET

[@someone20ify]

no, you made the calculation error. cube root of (5000/3pi ) is 8.09530021002

[@DanT-iu6oc]

this problem was wildly, fucking difficult. absurd

[@dudedudedude94]

you sound like ross from friends.

[@jessepiazza2106]

you sound like George from Seinfeld

[@graceamazing7349]

I'm annoyed by a lazy voice. I don't know

[@AinaMardia92]

like

[@jaredgin]

What the fuck does that even mean? It's boss?

[@TehCacti]

12:10 "let's approximate that with a calculator" what piece of shit calculator are you using that only gives an approximate answer lol

[@alexchmil3264]

This problem can be solved in less than 8 minutes with a better presenter! Boooorrrrriiiiing!

[@someone20ify]

LOL at the subs!!

[@ronaldjohnson4470]

The cube root of 5000/3 pi = 17.36. Please correct the error.

[@Zerkenzy]

u typed it into u windows calculator wrong bro

[@IamChandEvil]

u wot?

[@joejoecreampuff1912]

Please correct your enthusiasm. Use parenthesis.

[@upsc.current]

your language damage