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# A hole of radius $r$ is bored through the center of a sphere ofradius $R > r .$ Find the volume of the remaining portion ofthe sphere.

## $$V=\frac{4}{3} \pi\left(R^{2}-r^{2}\right)^{3 / 2}$$

#### Topics

Applications of Integration

### Discussion

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

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### Video Transcript

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WZ

#### Topics

Applications of Integration

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp