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Hey guys, I originally made these youtube videos to help my classmates before a Calculus 2 test that we had 3 years ago.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

[@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 ^^

[@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

[@williammwanza8042]

Excellent explanation🎉

[@tannerwright7865]

you should explain what a strip is at the start

[@FernandoDiaz-wh4qx]

This video is amazing, but I agree. There's no video on youtube that explains disk washer and shell as if the viewer knows absolutely nothing about it, but this helps the most

[@dabdabdabdabdab7922]

Disk, washer, shell, is the NAME of the method/formula you use to find the volume. Disk is usually circular type of shape. Washer usually has 2 functions and is a space away from x or y axis. And shell is like a turtle shell going around x or y.

[@AshleyTheMathTutor]

sorry about that, and yeah more people have said that as well. I will clarify that in another video later. Sorry for the confusion. Anyway, thank you for the view. More math tutoring videos coming soon

[@Withshaima]

best video ever in distinguishing between the 3 ways.

[@AshleyTheMathTutor]

thank you!! more math tutorial videos coming soon

[@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

[@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!!!

[@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!

[@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!

[@johngraham2186]

my final is in 29 minutes, thank you!

[@AshleyTheMathTutor]

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

[@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.

[@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!

[@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!

[@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

[@Kaleabe25]

Best explanation! Thank you for sharing your thoughts 🙏

[@AshleyTheMathTutor]

No problem! Happy I could help

[@Paola-ui1yv]

You are a goddess! Thank you so much!

[@AshleyTheMathTutor]

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

[@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.

[@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

[@dr.jenkem7574]

Very helpful! Thank you!

[@AshleyTheMathTutor]

Glad it was helpful!

[@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!

[@otakutaku4480]

not all heroes wear cape

[@AshleyTheMathTutor]

Haha apparently not! Happy I could help. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@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.

[@nouraalsaawi6043]

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

[@AshleyTheMathTutor]

You are very welcome! 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 )

[@wirelessmoke]

thank you soo much dude

[@AshleyTheMathTutor]

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

[@suleyman7478]

paraShell perpendiScular

[@AshleyTheMathTutor]

😂😂😂 Maha yeah I was never the best at spelling. Maybe that's why I excel at math because writing isn't one of my strong suits LOL

[@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

[@HamsterCatLionn]

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

[@dannydergham6173]

you have saved lives

[@Hydrogenautumn]

Best explanation! thank you for making this

[@markjannifi2lgoal333]

Thanks❤

[@mrndc]

Does this flow chart also apply to f(y) functions?

[@AshleyTheMathTutor]

I will check on the answer to this problem and get back to you soon. Feel free to check out my channel for more calculus/college math tutoring help. More content coming soon!

[@AshleyTheMathTutor]

hey, yeah it also applies to f(y) functions. The only difference is you would be doing the integral with respect to dy instead. For example, for disk, it would be pi times the integral of fy dy, from the boundaries a to b. so yes it applies

[@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!

[@nonyabusiness4899]

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!!!!!

[@hamzamehmood1571]

nice explanation

[@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!

[@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

[@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!

[@mayar6345]

bless ur soul

[@AshleyTheMathTutor]

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

[@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

[@mohammedalkitbe2301]

You saved my life ❤️❤️ from Dubai

[@AshleyTheMathTutor]

Thank you!

[@Dan-w9q8n]

YOU SPELLED VERTICAL WRONG.

[@AshleyTheMathTutor]

😂😂😂 sorry about that haha i'm great at math but writing is where i need some improvement in. I guess those are my strengths and weaknesses lol

[@brax300]

Flow chart is awesome. Definitely using this. Thanks!

[@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 :)

[@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!

[@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

[@doordashguy9692]

This is really helpful! Thank you!

[@AshleyTheMathTutor]

Glad it was helpful! You're so welcome!

[@luk45ful]

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

[@NAli-qe2wk]

Nice, but the only thing which you need to mention are the limits form the graph and integrated function.

[@AshleyTheMathTutor]

aww yes I see what you mean. I apologize for that. More math tutoring videos coming soon . I will clarify that in another later videos. More math tutoring videos coming soon

[@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!

[@tootimakooti1762]

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

[@slowpoke8097]

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

[@yoooo7568]

Why didn't my calc teacher explain when to use horizontal vs vertical slices... thank you for explaining

[@collinknowles5333]

Still helping people five years later ashley

[@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!

[@ragnarlothbrok6324]

Thank you Ashley I love you

[@AshleyTheMathTutor]

No problem!

[@ケン-k9j]

if the curve is xy=1, is the strip vertical or horizontal?

[@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!

[@quinnpuffer7901]

Amazing video, explained everything super simple and easy to understand

[@Princess71826]

Shout out to you girl! this was mad helpful

[@AshleyTheMathTutor]

Thank you so much! More math tutoring coming soon!

[@manaryasin3529]

Thank you so much 💛💛💛

[@AshleyTheMathTutor]

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

[@dishantpagdar8209]

Thanks a lot.... it helped me a lot ❤️

[@AshleyTheMathTutor]

no problem! More math tutoring videos 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!

[@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

[@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.

[@fabihanazat6200]

What would u do to figure out where the strip is if you have an x= and y= equation? Is it horizontal or vertical?

[@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^^

[@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!

[@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

[@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!

[@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!

[@caylanwilcox9172]

Thank you my teacher

[@AshleyTheMathTutor]

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

[@margeyts3325]

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

[@angelaliu1285]

OMG THIS IS AWESOME U R AWESOME THANK U SM MUAHMUAHMUAH

[@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.

[@giorgiaasamoah9517]

Thank You! So helpful

[@AshleyTheMathTutor]

no problem! More math tutoring videos coming soon

[@timzelikovsky490]

What do you mean by strip? Do you mean the axis of rotation?

[@AshleyTheMathTutor]

hey, and no, the strips are The rectangles or bars 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.

[@BsmTwo]

@@AshleyTheMathTutor Thank you so much!!! I have to do a discussion post about the differences and was struggling to find the differences

[@sarahfleischer3571]

Thank you for this

[@AshleyTheMathTutor]

no problem! More math tutoring videos coming soon

[@rachelmartinez3544]

this helped so much you don't understand

[@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.

[@justinernest2363]

Best video😎🥳

[@AshleyTheMathTutor]

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

[@jayxxautumn2422]

i have exam tmr and this literally saved me !!

[@Hollywood24297]

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

[@arvincaluyo9737]

thank you maam

[@AshleyTheMathTutor]

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

[@daryllkeithoasay4041]

Thank you❤️

[@AshleyTheMathTutor]

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

[@anderiabarzanji7354]

god bless you

[@AshleyTheMathTutor]

Thanks! :) happy you enjoy it

[@tomthomas7823]

Thanks a ton

[@AshleyTheMathTutor]

Most welcome!

[@madelinecarker9721]

God bless you

[@AshleyTheMathTutor]

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

[@avaaa980]

excellent video thank you

[@area3o1]

most under rated math video

[@jessicalopez4182]

what do up mean by strip?

[@mercynimu3333]

I love you

[@AshleyTheMathTutor]

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

[@angelinamax]

Thank you so much this helped a lot!!!!!

[@AshleyTheMathTutor]

No problem!! I'm so happy I could help! More math tutoring videos coming soon

[@ag-is3nh]

you are HIM!!! thank you.

[@SamkeloCele-p6e]

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

[@SamkeloCele-p6e]

I mean 5 years later

[@alessandra3600]

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

[@AshleyTheMathTutor]

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

[@markjannifi2lgoal333]

I understand it from u