The difference between disk, washer, and shell method

[@AshleyTheMathTutor]

Hey guys, I originally made these youtube videos to help my classmates before a Calculus 2 test that we had 3 years ago. But seeing how far it blew up really encouraged me! I've decided to upload more math tutoring vidoes to help you guys! I'll be sure to upload more math tutoring videos focusing on Calculus 1, Calculus 2, Geometry, Trigonometry, and Algebra. Thank you guys so much for all the love and support! I am so happy that I could help you guys! More videos coming soon, I promise.

[@musawaleed224]

Than you for your help. 🌹🌹🌹

[@randonbones1254]

Taking my calc 2 test soon and this helped me understand things so much better, thank you for posting this 🙏🏻

[@AshleyTheMathTutor]

@@musawaleed224 no problem! New videos coming out today and i post biweekly!! :)

[@AshleyTheMathTutor]

@@randonbones1254 happy i could help! I have new calc 2 videos coming out today and from now on i post biweekly! Much more content is coming soon

[@daisynussbaum1830]

you are such a wonderful explainer and teacher 🙏🏻 thank you Ashley

[@rachelkiss302]

God Bless this woman. She just saved me for my exam tomorrow. Thank you!

[@AshleyTheMathTutor]

Thank you! more math tutorials videos coming soon

[@HamsterCatLionn]

Unironically one of the most clear and concise calculus videos I've ever seen. If you aren't already you should consider teaching.

[@Withshaima]

best video ever in distinguishing between the 3 ways.

[@AshleyTheMathTutor]

thank you!! more math tutorial videos coming soon

[@marcoarodriguez]

I am in Calc 2 right now and had no idea when to use the different methods until I watched your tutorial. I spent the last two days in the library looking for hints on the internet and nobody made any sense. This video makes everything so clear. Thank you!!!

[@SamkeloCele-p6e]

3 years later and she still saving lives, God bless you

[@SamkeloCele-p6e]

I mean 5 years later

[@vka1350]

You ma'm, are a true hero. GOD BLESS THIS WOMAN TENFOLD! THANK YOU!

[@AshleyTheMathTutor]

Thanks so much!!! I appreciate you dearly. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@luk45ful]

This is such a nice way of describing when to use each method! I definitely appreciate it!

[@blahaj._blast-d7n]

i was so confused on when to use the washer disk and shell methods. im a university student lol. this video helped me out so much. thank you so much!!!!!

[@akshaybalaji6602]

I'm studying for my calc 2 midterm and was looking for a resource to help me with volume of disks/washers and shells. This was a godsend! Thank you so much for explaining it so clearly in such a way that we can easily understand it!

[@pfeliciano4062]

Wow! This is what math teachers should be like! You organized everything so that we could actually understand the concepts and then make the connections to how and why the problem works the way it does. God bless you!! Keep on making videos please ❤️❤️❤️ Update: I got a 95 on my test 1 because of this. Now I’m back at it for finals on Monday! Wish me blessings!

[@AshleyTheMathTutor]

Wow thank you so much! I have more math tutoring videos coming soon

[@MytheuzYecyec]

Thank you so much, I watched all your videos from disk, washer, to shell and it really helped me A LOT. May God bless you and may God bless me with my exam today. 🙏🏻

[@derekkinder2427]

3 years after being posted and your video is still helping me get through calc 2 in college thanks so much!

[@AshleyTheMathTutor]

Glad it helped! Thanks.

[@nelsondiaz3013]

This is probably the third time I commented on a KZbin video in 10 years. I just had to, this is amazing. Calculus 2 is known to be one of the hardest classes you will ever encounter but you did an amazing job at explaining it. I am going to show this to my teacher because it's just too good. Thank you for the hard work you put into this video.

[@thebluebeyond2329]

Even though I have watched hour-long videos on KZbin and attended lectures. This video summed up everything I needed to know about finding the volumes of solids of revolutions. I just subscribed. I will share the video with friends and many more. I can not wait to watch more of the videos on this channel. Thank You.

[@AshleyTheMathTutor]

Thanks so much!!! Wow thanks for sharing with your friends. I really appreciate it!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@bd-fb1ul]

Amazing video, this was the one concept that kept tripping me up. Makes so much sense now. You are a gentlewoman and a scholar.

[@AshleyTheMathTutor]

Wow, thank you so much! This means a lot. Happy I could help!

[@dabdabdabdabdab7922]

Best video yet! Very simple easy and understand. This is like the 25th video I've watch and by far it is the best. Thank you so much! 🤗

[@AshleyTheMathTutor]

thank you and I am so happy I could help! I have more math tutoring videos coming soon!

[@tootimakooti1762]

this is the best easy going and most straight forward video ive seen thankyou!

[@webosftw]

This flow chart is a life saver for Calc! Thank you so much for creating this. I really appreciate it.

[@shirley8689]

You are a true educator that want her student to understand what they're studying. Thank you for this. I can differentiate the three methods now. God bless you!

[@AshleyTheMathTutor]

Glad it was helpful! God bless you too. Thanks!

[@thaumaston7]

Excellent! It's been a while since I dealt with solids of revolution from calc 2, but I needed to review this topic for something. I programmed the formulas in my calculator, and the only thing I needed to remember is when to use washer vs shell. This video cuts to the chase and is more helpful than any other I've seen. However, I think there's a simpler way to think of it. I only have two programs for this in my calculator -- one for washer, one for shell. There's no need for "disk". Disk is just a variation of washer. In my washer code, I enter a value for any separation from the rotating axis. When there's no separation, the value is 0 (creating the "disk"). This is also how I've seen it taught in various calc 2 texts -- just washer vs. shell. I think it's easier to think of two choices rather than 3.

[@onlyholliday7334]

Thanks Ashley, your flow charts and examples made my homework really simple!!! Thanks for posting this.

[@AshleyTheMathTutor]

No problem!! I’m happy you enjoy it. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@SinisterSoundwaves]

For real! Thank you so much for making this! Been spending forever trying to figure it out.

[@AshleyTheMathTutor]

Thank you so much! I have more math tutoring videos coming soon

[@melkote]

Bless you oml you are such an easy person to listen to. Was reviewing for calc exam soon and this video summarized one of those sections extremely well!

[@laurareyes5297]

I love yooouu sooo much! You made this video easy to follow and understand the subject. I wish my professor took the time to do it just like this. My professor went straight into teaching it without explaining why she was using certain methods. I'm glad I found this video before my calculus finale, that is taking place tomorrow

[@subhammaharana1540]

It is the best video for distinguish between disk, shell and washer method. Nice explanation 😊😊

[@AshleyTheMathTutor]

Hey guys, so a lot of people were asking what a strip is. A strips is the rectangle that I draw from the function to the axis of rotation. Like someone else in the comments pointed out, the strips are the rectangles or bars that are used to make approximations. The strip rotates 360 degrees to form a 3-D shape from 2-D rectangles. When you create infinitely many rectangles in the bounded region we can get closer to exact values.

[@pr0dsatya]

Thank you so much. I went through like 2 years of calc without knowing this. Now Im preparing for a calc 2 final and this is CLUTCH. The table you showed in the beginning is so helpful and organized. Thank you so much

[@AshleyTheMathTutor]

Thanks so much!! Im so happy I could help. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@williammwanza8042]

Excellent explanation🎉

[@muh.hamiddd]

Oh my god, it's a very difficult material but you manage to simplify it. What a phenomenal video. You've just helped me to understand the materials under 15 minutes. This video deserves to be on top of the searching lists so that people can notice it. You have just saved me and my friends to comprehend the topic. Hopefully, you'll become one of the best math youtube channel tutorials in the future. I'll be watching A.S.A.P. Thank you so much 😃.

[@MariaAzevedo__]

this is the best tutorial ive ever seen tysm u are a queen

[@andrewtrinh270]

I never comment on anything but this video was super helpful. Thanks!

[@valleriesun5664]

I'm sitting here the day before my test confused as heck. Your flow chart is literally saving me XD. It's so much clearer now. Thanks so much for posting this video ^^

[@asinner]

I was still a little confused by these concepts until I watched this video. Great explanation. Thank you!

[@AshleyTheMathTutor]

No problem! Happy to help. I have more calculus tutoring videos on my channel too if you need additional help. Thanks for viewing!

[@margeyts3325]

I have an exam 7 hours later, God bless this video for helping me cram

[@TheJackTheLion]

I have to say, well done. This will help a lot of people.

[@audreyzoso574]

God bless you and your clarity, much needed thank you!!!

[@AshleyTheMathTutor]

No problem! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon

[@BrookeLarimer-tw6mu]

The hidden heroes of KZbin strike again! Have my first calc 2 exam in two days. Thank you so much!

[@AnnaHoweVlogs]

I have spent hours watching videos about this subject and I couldn’t grasp the concept. In 12 minutes you helped me understand it. Thank you!! Your teaching method/style is amazing!

[@AshleyTheMathTutor]

thank you so much! More math tutoring videos coming soon

[@quinnpuffer7901]

Amazing video, explained everything super simple and easy to understand

[@slowpoke8097]

Thank you so much! This has been the best video on describing volume, you've helped me tremendously. My grade thanks you 😭✨

[@der_gato]

this video made such a complicated concept super simple to me. my professor and the textbook made it sound like nonsense. thank you so much, i wish i found this video sooner.

[@srinathsatuluri2872]

even a teacher has never explained like this. this tutorial was so helpful :)

[@AshleyTheMathTutor]

Thank you! I'm happy to help. More math tutoring videos coming soon

[@nicklehman3984]

very helpful, thanks for taking the time to explain this.....makes choosing the method very simple ( I struggled with visualizing these rotations at times )

[@javiercantorne7300]

Well explained! this kind of teaching is what I like the most

[@AshleyTheMathTutor]

Wow thanks so much!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@brax300]

Flow chart is awesome. Definitely using this. Thanks!

[@JRyanEE]

This is the kind of teaching I can learn from.

[@zy8753]

Thank you so much! My tutor shared this with me, and w/ some more practice, I believe I'll finally discern which right method to use! God Bless 💗

[@AshleyTheMathTutor]

Thank you so much! More math tutoring videos coming soon

[@mohammedalkitbe2301]

You saved my life ❤️❤️ from Dubai

[@AshleyTheMathTutor]

Thank you!

[@rubymatsuno8846]

This video helped so much! I have watched a few other videos about this and I couldn't understand, but this was the first video that made sense. Thank you!!!

[@AshleyTheMathTutor]

You're so welcome!

[@waactics]

I APPRECIATE YOU SO MUCH, it’s been challenging understanding this concept in class but your videos help so much!!!

[@atulvenky1275]

First video that actually made sense to me, thanks!

[@Kaleabe25]

Best explanation! Thank you for sharing your thoughts 🙏

[@AshleyTheMathTutor]

No problem! Happy I could help

[@liamareli368]

Dude. When I say thank you, I mean THANK YOU!! I hope you have a blessed day.

[@AshleyTheMathTutor]

No problem! Same to you. More math tutoring videos coming soon

[@tentan4817]

Thank youuuuu so muchhh ashley! i was having a problem in picking which formula to use. Your way has solve my problem,lots of love to you^^

[@arnab8145]

That is so nice and precise. It helped me prepare for my exam. Thank you!

[@AshleyTheMathTutor]

Happy to help!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@lilbigmac5824]

Fr thanks, my Calc AB teacher is great but she didn’t do a good job teaching this lesson imo, I’m not very geometrically inclined so the flowchart and the idea of the curve “sitting” on the axis of rotation really helped me! Thanks and good luck on the channel :)

[@AshleyTheMathTutor]

Wow thanks so much!! I really appreciate it. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@crispychickenwing]

Calculus test in 3 hrs here we gooooo thanks for the video! Very nice n easy to understand

[@AshleyTheMathTutor]

happy i could help! More math tutoring videos coming soon

[@alessandra3600]

You have just saved my life, thank you so much 🙏🏽

[@AshleyTheMathTutor]

Happy I could help! More math tutoring videos coming soon 🙏🏽

[@ianmedin2762]

I just learned so much it's all clicking now!!! Thank you!

[@kelly-bc6on]

what an absolute GEM of a video, thank you!

[@katesmith6528]

This was beyond helpful!! Thank you so much

[@KIRBYCASICAS-ki2tp]

I immediately lower the volume of my device when you're about to draw a strip haha anyways, thank you for this, you delivered this concept well that made calc2 becomes easy

[@sssm9229]

Thank you so much ! This explained the difference so well in just a couple of minutes.

[@AshleyTheMathTutor]

No problem! More math tutoring videos coming soon

[@gB-gm7vy]

I’ve got to get me one of those flow chart thingys. Excellent job on the video - thank you

[@AshleyTheMathTutor]

No problem! More math tutoring videos coming soon

[@ZachKTS]

Thank you for breaking it down in a fast and easy way.

[@AshleyTheMathTutor]

No Problem! More math tutoring videos coming soon

[@abdallakalil290]

AAAAMMMMEEEEZING Well organized. imagine if you was my Professor. you are more than my professor Thanks a lot. a have got D on my quiz but in my next exam for sure I will get A.

[@AshleyTheMathTutor]

I'm so happy i could help! More math tutoring videos coming soon

[@dannydergham6173]

you have saved lives

[@hamzamehmood1571]

nice explanation

[@5sauce881]

thank you so much you really help me a lot god bless you and more blessings to comeee💕

[@AshleyTheMathTutor]

Omg thank you so much!! I’m happy I could help you. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@nachiket481]

Thank you so much for making such a nice video! Very patient in your explanations. Have a great day and keep up the helpful videos! Very helpful once again.

[@AshleyTheMathTutor]

Thanks so much!! I'm so happy I could help! I have more calc 2 videos on my channel if you need more help in calc 2, and I have even more videos coming soon! :)

[@mohamedarshad1244]

Helped me a lot.......THANK YOU SO MUCH!!!

[@AshleyTheMathTutor]

No problem! Thanks for viewing :) I have more calculus tutoring videos on my channel too if you need additional help

[@demifire2318]

this video was extremely helpful! Thank you

[@AshleyTheMathTutor]

Happy to help! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@nouraalsaawi6043]

Thank you so so so much. You made everything perfectly clear!!

[@AshleyTheMathTutor]

You are very welcome! More math tutoring videos coming soon

[@Izzy_627]

You are literally an angel, I have an exam in two days and this all finally makes sense 💛

[@AshleyTheMathTutor]

Happy to help! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@ariannaarteaga]

what a god.... literally have a quiz tomorrow big help!!!! thank you

[@AshleyTheMathTutor]

No problem! I have more calculus 2 content up and I will be uploading content about every 2 weeks

[@studyroa9045]

thank you teacher of the day

[@AshleyTheMathTutor]

No problem! Happy i could help. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@dahliatodorov9263]

u just saved my life i love you

[@dr.jenkem7574]

Very helpful! Thank you!

[@AshleyTheMathTutor]

Glad it was helpful!

[@Hydrogenautumn]

Best explanation! thank you for making this

[@hawadrammeh8870]

love seeing smart black women! thank you so much !

[@AshleyTheMathTutor]

aww thanks! and no problem, i am happy to help. More math tutoring videos coming soon

[@vershamaheshwari9545]

Well explained⭐

[@AshleyTheMathTutor]

Thanks so much!!! I have new calc 2 videos coming out today and from now on i post biweekly! more content is coming soon.

[@yasnarahmani3033]

Amazing video and organization thank you

[@AshleyTheMathTutor]

Thanks so much! I have more calculus tutoring videos on my channel too if you need additional help :)

[@Hollywood24297]

You just helped me so muchhhh 😩 you the real MVP 😏😊

[@area3o1]

most under rated math video

[@lukes9783]

thank you very much this is just the right thing i was looking for for my test tommorow ty :D

[@AshleyTheMathTutor]

Happy I could help!

[@snowballdrifter8774]

Thank you so much!! After seeing this video, I know I would not fail my calculus exam tomorrow

[@AshleyTheMathTutor]

I'm so glad! I'm happy you won't. Awesome!

[@nevin3543]

You are a LEGEND. Thank you

[@vbhalo163]

Great video, it helped a lot. Just one little mistake, for the problem y=3x-10 and y=6-x the lines are switched so it tripped me up as i tried graphing the functions by hand. Besides that all great stuff

[@Princess71826]

Shout out to you girl! this was mad helpful

[@AshleyTheMathTutor]

Thank you so much! More math tutoring coming soon!

[@doordashguy9692]

This is really helpful! Thank you!

[@AshleyTheMathTutor]

Glad it was helpful! You're so welcome!

[@ritvikindupuri2388]

Late, and just finding about this method as I am doing this in Calculus 2. Love the method however one thing is i believe y= functions should have a horizontal strip as the function is defined for a range of x-values, and the y-values correspond to the output of the function at each x. So, horizontal strips (which focus on how y varies for each x) are the natural way to analyze these types of functions. In contrast, x = functions would use vertical strips since they are defined for ranges of y-values and show how x depends on y.

[@kottamanvith3120]

I loved the explanation really understood everything 🎁

[@AshleyTheMathTutor]

thank you! More math tutoring videos coming soon

[@FinalXGameing]

You're Godsend. I love you.

[@AshleyTheMathTutor]

Haha love you too!! Thanks so much. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@trinity7235]

You just saved me omg thank you for making it so simple!!!!!!

[@AshleyTheMathTutor]

I'm so happy i could help! More math tutoring videos coming soon

[@Ondroth]

Thank you so much you don't know how much you have helped me ♥

[@AshleyTheMathTutor]

omg i am so happy i could help! More math tutoring videos coming soon

[@mariaadnan7202]

Thanksss ❤️❤️you make it clear

[@AshleyTheMathTutor]

Happy I could help!!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@nouraaldhaheri9022]

Thank you I studied this with a tutor and the teacher but never understood it 😂😂

[@AshleyTheMathTutor]

Haha happy i could help!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@Diana-rj3pf]

you are an angel ! thank you so much for explaining this so clearly :)

[@AshleyTheMathTutor]

not a problem! more math tutoring videos coming soon

[@justinernest2363]

Best video😎🥳

[@AshleyTheMathTutor]

Thanks!! Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!