GCSE Maths - How to Find the Volume of a Frustum

This video covers how to calculate the volume of a frustum, which is basically a cone that has had its top bit chopped off.
This video is suitable for maths courses around the world.
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[@Cognitoedu]

If you’d like to practise the material covered in this video, check out our platform at www.cognitoedu.org - it's totally free, and has been built to make learning and revision as easy as possible. The main features are:
- Lessons organised by topic, only the lessons relevant to your specific exam board and tier are shown.
- Automatic progress tracking. Progress bars tell you what you’re doing well at, and what you need to spend some time on.
- Practise quizzes so you can test your knowledge. You can quiz yourself on any combination of topics you like.
- A huge number of fully-hinted questions that take you step-by-step through some of the trickiest calculations & concepts.
- A comprehensive bank of past exam papers, organised both by year, and also by topic.
Amadeus & Tom

[@hatem4906]

Not all heroes wear capes, THANK YOU COGNITO FOR EVERY VIDEO YOU'VE UPLOADED!!

[@Golgothaable]

I do not know about frustum more like frustrating...

[@DJ-Fiziks]

I never got this thing and lost loadsof marks in my mock for it. you've just made it so simple, you guys are legends ty

[@ParthaviShah]

Ty cognito watching this a day before my GCSE maths exam

[@ireoluwaemmanuel948]

How did it go

[@kevinfrench524]

Very clear instructions. Thanks so much for the helpful video!

[@ateefrehan6133]

Thank you sooo much for this video 📈📈📈

[@user-yx5my1fj8f]

This helped so much thank you❤

[@U.wU._.]

very helpful explanation thank you so much

[@ersan1798]

So,where can I get ppt?

[@CertifiedWaffler64]

Thanks man I appreciate it

[@newtopazhawk9930]

How do you find out the height if a frustum

[@tahakhuwaja5917]

Saw a video calculating rates of reaction on your channel. How can I use the rate of reaction to calculate the rate constant for a first-order reaction using the volume of gas collected?

[@pratikshyajalli3806]

Hey dear, I think I have a perfect guide book for your practice and am sure that will help you a lot. If you are interested to get some improvement in you I can provide you that guide. All the best

[@sumdumbmick]

given the linear ratio between the diameters, a : b the fundamental frustum constant, m, is given by:
name the variables such that a > b
c = a^3; d = b^3
m = (c - d) /3
pi/4 *m /c = vol of frustum relative to rectangular prism containing the full cone (multiply this by 4 *R *H)
pi/4 *m /d = vol of frustum relative to rectangular prism containing small cone (multiply this by 4 *r *h)
believe it or not, this is less work than the way you did it, and it generalizes to all frusta. just replace the fundamental circle constant, pi/4, with the shape constant for whatever the base is.

[@OgundejiOredolapo]

Tomorrow is exam and I have to watch this . thank you

[@nsemizap9084]

Thank you so much! You explained it so quickly and easily to remember I am sure if we were taught it in class it would take up the whole lesson.

[@YoursTrulyAriella]

OMGGGG THANK YOU SO MUCH ! I FINALLY UNDERSTAND !! MY TEACHER WHO IS APPARNTLY THE BEST MATHS TEACHER COULDNT EXPLAIN IT WELL , BUT COGNITO EXPLAINED IT WELL ALL UNDER 4 MINTUES ! THANK YOU SO MUCH I LOVE YOUUU GUYS !

[@Flash_editzzz]

What if i dont have the hight of frustrum

[@sugaaa4721]

Thank you

[@OmololaAyanshola]

Thanks

[@zehongzhou5675]

got stuck on these questions for so long b4

[@zehongzhou5675]

do we need to memorise the volume of a cone for edexcel gases pls respond my exam is tmrw

[@adam7657]

Yes we do, area of base x height x 1/3

[@TayyabKhan-ym2pf]

helped a lot

[@WilliamLee69699]

fr

[@ktfxreddevil]

Volume of Frustum of a Square to Cone?

[@Venom-nk8nd]

Thanks 🇵🇬🇵🇬,,

[@yourlocalpostman]

Could you make a video on vectors, if possible?

[@Kingdavid_3]

I think there is one

[@Kingdavid_3]

If u mean physics

[@yourlocalpostman]

@@Kingdavid_3 nah I was referring to the grade 8/9 vector topic in maths, vectors in physics is easy lol

[@Kingdavid_3]

@@yourlocalpostman oh ok I'm also in grade 9 but I don't know vectors in maths 😂

[@Kingdavid_3]

So it must be important

[@aspectclaw6411]

May I ask you to make videos about space and GCSE or make a how to revise videos

[@Cognitoedu]

Hey, we already have a few space ones in the physics playlist - hopefully they have some of what you’re after!

[@aspectclaw6411]

@@Cognitoedu yes I have seen them can you make videos on propulsion systems or faster that light travel

[@SILX]

thanks!!!

[@Mogw]

Bruh what if there is no 50cm

[@catank22dagrate22]

I love cheap whiskey

[@jjuiix6172]

?

[@caro_m9]

@@jjuiix6172 he loves cheap whiskey