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# Refer to the figure and find the volume generated by rotating the given region about the specified line.$\Re_2$ about $OC$

## $\frac{\pi}{9}$

#### Topics

Applications of Integration

### Discussion

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Michael J.

Idaho State University

Lectures

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### Video Transcript

In order to find the volume, we know it must first integrate along the access parallel to the axis of rotation. Which means the excessive irritation is X equals zero than the radius is y to the fourth. Because this is this is the distance to the axis of rotation. Our bounds or 01 we already established are ours. Wife. Why did the fourth and R R squared? So why did the fourth squared? Do you? Why? Which is the same thing as why did the eighth okay? Integrate used the power rule. Increase the expert by one divide by the new exponents. Now we can plug in.

#### Topics

Applications of Integration

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Michael J.

Idaho State University

Lectures

Join Bootcamp