Related Rates - Gravel Dumped Into Conical Tank Problem

This calculus video tutorial explains how to solve problems on related rates such as the gravel being dumped onto a conical pile or water flowing into a conical tank.

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Introduction to Limits:

Derivatives - Fast Review:

Introduction to Related Rates:

Derivative Notations:

Related Rates - The Cube:

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Inflated Balloon & Melting Snowball:

Gravel Dumped into Conical Tank:

Related Rates - Area of a Triangle:

Related Rates - The Ladder Problem:

Related Rates - The Distance Problem:

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Related Rates - Airplane Problems:

Related Rates - The Shadow Problem:

Related Rates - The Baseball Diamond Problem:

Related Rates - The Angle of Elevation Problem:

Related Rates - More Practice Problems:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[apexdisease]

You explain this better than anyone else Iv'e watched, thank you

[heathuschrist]

This video was super helpful. Thank you for helping myself and others to learn how to tackle these pesky word problems!!

[blueastro]

Why do you always have a video of every problem I have? Thank you so much

[alexmoorehead]

I'm sure I'll understand how to do these myself eventually :(

[jasminekoala]

Studying for my calculus final and this video has saved my life, my teacher isn't the best at explaining things lol

[georgesadler]

MR. Organic Chemistry Tutor, thank you for a fantastic video/lecture on Related Rates in Calculus One. I always have some problems with Related Rates word problems; however, my overall understanding of this topic is improving. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

[DrArtorias]

massively helpful explanation for a complex problem. thank you!

[dankplayz]

You work your ass off on youtube and i thank you for that since it helps me with my math needs i am looking forward to your next vid and i hope you do some gaming i think that would be preatty cool but if you want to stick with math i respect that i hope you get 1 mill one day so just keep doing what you are doing and youll get there!

[uselesschannel]

I think all us Organic chemistry tutor fans need to make a university where we all are happy to pay expensive tuition to have him teach us this stuff

[daviddavid]

I think the water tank in the last problem will be empty soon but thank you very much for the efforts. Best tutor ever.

[sit]

when i hear this man’s voice all my worries fade

[jimcar]

Thanks so very much - you are a fantastic teacher.

[BillyBob-trcv]

Holy crap. Your way is so much easier.

[mathwithnour]

شكرا يارجل امثلتك رائعة وكثير استفاديت منها
Thank you, man. You have been very helpful and your examples are wonderful

[coremath.]

bro i love you so much how do you have a video FOR EVERYTHING thank you 🙏

[mrfatboy]

I had completely forgotten that a ratio is a constant.

[andrewgilbert]

When you created the ration of the height to the diameter you didn't use the cm values for the h and d, and you later plugged in cm values for h and dh/dt. Is that a mistake?

[---hfkb]

In the area of triangle video, there are 2 different variables (b and h) in the rate equation. In this video, why do you have to convert radius in terms of height? Can't you solve the rate of 2 variables (radius and height) too in the equation?

[superduperdil]

the only thing worse than calculus is mike bloomberg ads.

[Christluvstt]

why isn't the 7500cm^3/min negative? The water is leaking out so the rate should be negative right?