IB Math IA: Volume of a Revolution

In this video we use Geogebra to create a solid of revolution. Volume of a revolution is a solid (excuse the pun) idea for the IB Math IA.

[helloitsme]

"you have weeeks and months to do your ia"
me:doing it 5 hours before summissiong euiaseghfksag

[TheKeithMorrison]

This is incredible, thank you as a maths teacher!

[neilmurfin]

Very concise and clear. Thank you Mr Flynn

[laurasabrosa]

Hi, sir. Loving the videos! Do you have any suggestions of how I could use calculus in my Maths AA HL IA (possible involving volume of revolution) and relate it with medicine/biology? All the ideas I previously had were rejected since they weren't viable...

[atharvbagdiya]

Hey, Mr. Flynn! Great video, really appreciate it. I am thinking of modeling and finding the volume of a symmetrical sports bottle I have. I am also thinking of finding a way to find the volume in real life and compare the two to help build a complexity in my IA. Does this sound like a good plan?

[ikikdcf]

Nice explanation and great idea. One question tho: how do I measure the volume now? Do I put the equation g(x) in the volume of revolution formula? If so, what are the limits? is it from 0 to highest distance in the x-axis or y-axis? Thank you for everything.

[sunniva]

Hey sorry for asking so many questions, my teacher is unavailable for the week (The IA is due next week). I'm considering using the Lagrange quadratic interpolation formula to find three functions for three parts of a beauty blender and reflect it to obtain a relation modeling the beauty blender and using it to calculate the volume and surface area. Could I use the polynomial given by GeoGebra to validate the calculated volume and surface area?

[darrenadrian]

This is awesome! I just wanted to ask, if you have a sample of an IA with this topic?

[Mwah]

Hi Mr Flynn, i was wondering of i could do a hl aa IA on modelling the museum of future in dubai using volume of revolution?

[fernandallanosm]

Thanks this is so helpful! One question: do you think it is a good idea to model the barbie ideal body and an average body, the calculate the volume of revolution of both and convert the units to mass and compare them? My personal engagement would be related to beauty standards, still I do not know if it is possible with this topic. Do you have any feedback please?

[selvarajadithya]

Hello, my math teacher told me to go in the direction of looking at how the shell and disc methods were derived and to analyse their strengths and weaknesses in finding the volume of various solids that have different parameters. However, after alot of research im unable to find anything substantial to talk about in terms of strengths and weaknesses as it is very shallow. Do you have any advice regarding this?

[hhhayley]

Hello! Do you think the topic of determining if russian dolls's volume decrease arithmetically or geometrically work? I will look at calc and sequences but I'm not so sure on the sequences part.

[nasirahmad]

Hi! This is very helpful sir. I have a recent IA due for math SL (just started). I was wondering that is it possible to do the calculations by hand? And then compare them with the technology one?. Also I was considering if I can submerge my coke bottle(the object I am using) into water and compare the 2 volumes. My teacher said the water part was a bit too much. I don't know now. And since we haven't learnt this concept formally in class, I am on my own. Is there a good resources where I can learn from(that includes everything I need to know). Thank you so much!

[jasperdavis]

Hi! I was wondering how to find the equation for the curve. The one geogebra shows on the graph and the one it shows in the functions section aren't the same. It seems to be displaying something different than it is saying it displays. The thing it displays is correct, but geogebra doesn't correctly tell us the equation needed to graph that function.

[arianaazmir]

Hi Mr. Flynn, thank you so much for the guidance!! i was wondering if i could do my ia on a cartoon character. I am MAA HL student. I was thinking of finding out the volume and surface area of revolution for totoro a character from studio ghibli.

My reason is to make a cake with the shape. So my aim is to find out how much icing needed to coat the cake and the volume of the cake.

Would this topic make a good IA? I am hoping to score my maths ia since i don’t have much confidence for the exam paper.

[yasminnagy]

How would I find the surface area and volume of a solid of no revolution? and how would I optimize it? I can't find a good explanation online

[SHADMAANKHAN-mv]

How do i can find the volume of the surface generated into the geogebra?

[thisismurica]

Hi Mr Flynn, so after this video I travelled around my house for an object I could use and the best thing I could come up with is a soap dispenser. I first wonder if it's viable for an IA and if I should calculate volume or surface of revolution?

[allysona]

I was told by my teacher that I could not simply state that I got my equation by using geogebra and had to explain an understanding of how they got the equation. Do you know of how I could do that? I initially used matrices for polynomial regression, but would it be wise to use a form of regression? Is there an easier way of doing it? And another issue is would it be weak to use a method that requires substituting in points, because as my teacher puts it "how do you know that the points are accurate". Which is really why I am confused on how to demonstrate my understanding of math.

[eb]

Great video and so helpful! However, I don't understand what is this "n" that you adjust the value of, so I can't explain it on my IA. May you briefly explain so that I understand?