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WZ

# Suppose that a region $\Re$ has area $A$ and lies above the x-axis. When $\Re$ is rotated about the x-axis, it sweeps out a solid with volume $V_1$. When $\Re$ is rotated about the line $y = -k$ (where $k$ is a positive number), it sweeps out a solid with volume $V_2$. Express $V_2$ in terms of $V_1$, $k$, and $A$.

## $V_{2}=V_{1}+2 k \pi A$

#### Topics

Applications of Integration

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

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WZ

#### Topics

Applications of Integration

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp