- #1

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## Homework Statement

use the shell method to find the volume of the region rotated about the x-axis.

## Homework Equations

y=3x+10

y=x^2

## The Attempt at a Solution

2∏ (integral) (0 to 25) [ (y) (sqrt(y) - (y-10)/3) dy ]

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- Thread starter whatlifeforme
- Start date

- #1

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use the shell method to find the volume of the region rotated about the x-axis.

y=3x+10

y=x^2

2∏ (integral) (0 to 25) [ (y) (sqrt(y) - (y-10)/3) dy ]

- #2

Mark44

Mentor

- 35,128

- 6,873

## Homework Statement

use the shell method to find the volume of the region rotated about the x-axis.

## Homework Equations

y=3x+10

y=x^2

## The Attempt at a Solution

2∏ (integral) (0 to 25) [ (y) (sqrt(y) - (y-10)/3) dy ]

What's the question?

- #3

- 219

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my answer: 1111 (pi); correct answer: 5488pi/5

- #4

Mark44

Mentor

- 35,128

- 6,873

If so, you should have noticed that one integral isn't going to work for this problem. The boundary function on the left changes at the point (-2, 4).

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