- #1

- 164

- 0

The region is actually within x=-1 to -2 and it can actually same with x=1 to 2.

radius = 2-x

height = x^2

Is my assumption correct?

- Thread starter frozen7
- Start date

- #1

- 164

- 0

The region is actually within x=-1 to -2 and it can actually same with x=1 to 2.

radius = 2-x

height = x^2

Is my assumption correct?

- #2

Fermat

Homework Helper

- 872

- 1

You assumption about being able to use the region in the 1st quadrant is correct, yes.

- #3

- 164

- 0

How come the radius should be x?

- #4

Fermat

Homework Helper

- 872

- 1

The radius should be x because the radius of the cylinder is the distance from the origin.

The volume of revolution is about the y-axis, which passes through the origin. And you are finding the volumes of all the thin cylinders starting with cylinders with a radius of x = 1 to x= 2.

See here for a further treatment of the cylindrical method.

The volume of revolution is about the y-axis, which passes through the origin. And you are finding the volumes of all the thin cylinders starting with cylinders with a radius of x = 1 to x= 2.

See here for a further treatment of the cylindrical method.

Last edited:

- #5

- 164

- 0

Something wrong with the link you have given.

- #6

Fermat

Homework Helper

- 872

- 1

Sorry 'bout that. Forgot to add in the url.

The link is fixed now.

The link is fixed now.

- Last Post

- Replies
- 11

- Views
- 2K

- Replies
- 1

- Views
- 6K

- Last Post

- Replies
- 1

- Views
- 4K

- Last Post

- Replies
- 2

- Views
- 4K

- Replies
- 2

- Views
- 7K

- Replies
- 9

- Views
- 2K

- Last Post

- Replies
- 8

- Views
- 956

- Replies
- 9

- Views
- 1K

- Replies
- 1

- Views
- 2K

- Last Post

- Replies
- 4

- Views
- 2K