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Volume of revolution

English-help

What is volume of revolution?

Reply 1

B_9710

It's the volume of the solid formed by rotating a section of a curve about the axis of a line.

Reply 2

RDKGames

Study Forum Helper

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.

Reply 3

gdunne42

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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Reply 4

B_9710

Original post by gdunne42

Doesn't have to be 360 degrees.

Reply 5

gdunne42

Original post by B_9710

Doesn't have to be 360 degrees.

No it doesn't

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Reply 6

aerofanatic

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

https://www.youtube.com/watch?v=3oAjcLD34kc
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.