how would this volume look like (1 Viewer)

[anonymoushehe]

kinda having a stroke, how would the volume look like when its rotated

 

[Ilikedrivingbymycarandthe]

View attachment 47569
kinda having a stroke, how would the volume look like when its rotated

graphs like this make me glad I dropped math

 

[Average Boreduser]

View attachment 47569
kinda having a stroke, how would the volume look like when its rotated

consider first principles. I.e. remember how in 3U you derived the volume formula by making infinite cylinders? This is what I'd recommend if you want to visualise the solid.

 

[v.tex]

who cares just do the integration lol

 

[NotBamboo]

who cares just do the integration lol

so real

who needs integration just use rectangles subintervals

 

[Average Boreduser]

who cares just do the integration lol

no. If u can't visualise the solid, theres no guarantee if ur integrating the right volume.

 

[Average Boreduser]

it's not always as simple as plugging something into a formula. Especially for those q14s

 

[v.tex]

it's not always as simple as plugging something into a formula. Especially for those q14s

I mean true but if u can conceptually visualise the area good enough you should be able to do the volume

 

[v.tex]

it's not always as simple as plugging something into a formula. Especially for those q14s

question on this, anyone have any HSC examples or trial examples, where the integration just does not work. Because I am trying to find some and am not coming across many.

For the y-axis rotation ive come across a few, but the shell method seems top work most of the time for those special cases.

 

[liamkk112]

like this
but imo, there's not much point in visualising this question, mainly because you can already tell that the shape won't be something simple e.g. a cone

 

[v.tex]

View attachment 47584
like this
but imo, there's not much point in visualising this question, mainly because you can already tell that the shape won't be something simple e.g. a cone

Yeah, would it not just be the upper func integral- lower func integral with their intersection pts as bounds?

 

[anonymoushehe]

who cares just do the integration lol

i mean i would but im more a visual learner so it feels like im just subbing in values without knowing why im doing it

 

[liamkk112]

Yeah, would it not just be the upper func integral- lower func integral with their intersection pts as bounds?

i mean yeah if you want to evaluate the volume it would be something like that. but i think their question was about visualising the solid, not how to compute it

 

[anonymoushehe]

View attachment 47584
like this
but imo, there's not much point in visualising this question, mainly because you can already tell that the shape won't be something simple e.g. a cone

whats this website called??

 

[liamkk112]

whats this website called??

geogebra

Volume of revolution between two curves

Volume of revolution between two curves

www.geogebra.org