- #1

- 161

- 0

## Main Question or Discussion Point

how does the formula for volume of a torus work.

is there a proof with integration??

could you use an ellipse?

is there a proof with integration??

could you use an ellipse?

- Thread starter brandy
- Start date

- #1

- 161

- 0

how does the formula for volume of a torus work.

is there a proof with integration??

could you use an ellipse?

is there a proof with integration??

could you use an ellipse?

- #2

- 489

- 0

It's a surface of revolution, so yes, there is a formula (method of cylindrical shells).

- #3

tiny-tim

Science Advisor

Homework Helper

- 25,832

- 249

Hi brandy!how does the formula for volume of a torus work.

is there a proof with integration??

Yes, slice it into horizontal rings (

uhhh?could you use an ellipse?

- #4

- 161

- 0

sort of like taking a torus and stretching it upward...

get me?

- #5

- 161

- 0

how could you would out the volume?

- #6

tiny-tim

Science Advisor

Homework Helper

- 25,832

- 249

sort of like taking a torus and stretching it upward...

get me?

ah! got you!

how could you would out the volume?

yes, you can use

if you slice it into horizontal rings, you just need to know the width of the polygon at each height …

and if you use vertical discs, you just need to know the height of the polygon at each width

- #7

- 161

- 0

so all you need is the x,y positions ???

can you explain how this works??

keep in mind i know nothing AT ALL.

- #8

- 161

- 0

i mean like wat do u do to the points.... to get the volume of revolution

- #9

- 16

- 0

Have you considered using Pappus' centroid theorem?

- Last Post

- Replies
- 3

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 3K

- Last Post

- Replies
- 2

- Views
- 3K

- Replies
- 3

- Views
- 925

- Last Post

- Replies
- 3

- Views
- 5K

- Last Post

- Replies
- 3

- Views
- 4K

- Last Post

- Replies
- 3

- Views
- 2K

- Last Post

- Replies
- 3

- Views
- 6K