Volume using Cylindrical Shells (x-axis)
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- čas přidán 14. 08. 2021
- What is the cylindrical shell method to find the volume of solids of revolution? That's exactly what I'm going to talk about today. The cylindrical shell method says that if your solid of revolution looks like a mountain with a dent inside it, then use the cylindrical shell method. Super easy. It really helps with finding the volume.
A shell is an empty cylinder with no top and bottom lid. So what's the surface area of a shell? Well, the surface area is the same as the circumference times the height. The circumference will be 2pi times radius, and the height is f(x) since that is the y value of the function.
Whereas if your solid of revolution looks like a cucumber cut in half (shown in the previous video), then you use the dish washer method. If your solid of revolution does not look like a cucumber cut in half, then you use the cylindrical shell method. I did three examples using the cylindrical shell method to find the volume in the video.
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Hey Quoc, I'm really enjoying your videos! They have helped me in Calc II so much and it's only been a couple weeks in the course. Keep making them! I hope your channel goes far!
Hi Susanna! Thanks so much! That means a lot to me :) Let me know if you'd like me to do any topics!
you are so amazing i didnt understand this method in class but now i learned it thanks to you ❤
Thank you so much Aleyna! I'm really happy to hear that, and I hope you would share with your classmates and subscribe to support my videos!
These videos are great! You deserve way more viewers. I'm a TAMU university student and I'm going to start recommending you to my friends
Wow, thank you! You can find the rest of my Calculus videos here: czcams.com/play/PLeTO6OT3-FKmuCeO97iKt_Aibx-a938JA.html
AMAZING!!
Thank you Payiz! Please smash that subscribe button to defeat the evil CZcams algorithm.
Awesome videos, man! Your handwriting is impeccable. Just curious, assuming you went to higher education, what university did you attend? And did you stop at undergraduate or continue if so?
Thanks Zach! I'm currently an undergrad majoring in computer science at the University of Ottawa!
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Glad you found it helpful! :D
love you men
Ty!