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# Volume of revolution

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1. What is volume of revolution?
2. It's the volume of the solid formed by rotating a section of a curve about the axis of a line.
3. The volume created by rotating a curve (or anything else really) around the x-axis or the y-axis. If you outline the path of the revolution (use your imagination), you get a 3D object with a volume. The units don't really matter unless asked for.
4. (Original post by English-help)
What is volume of revolution?
It is the volume of the shape formed when you rotate a curve 360 degrees around usually (at a level) the X axis.
You find it by calculating pi times the integral of y^2 dx between the specified lower and upper limits of x

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5. (Original post by gdunne42)
It is the volume of the shape formed when you rotate a curve 360 degrees around usually (at a level) the X axis.
You find it by calculating pi times the integral of y^2 dx between the specified lower and upper limits of x

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Doesn't have to be 360 degrees.
6. (Original post by B_9710)
Doesn't have to be 360 degrees.
No it doesn't

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7. I think this is a pretty cool animation of it in a particular case:

The slicing bit towards the end is more for the derivation and why there is an integral involved.
it doesn't have to be through 360 degrees as in the video but I think you'll get the idea of what's happening.

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