Volume of a solid

[gab55555]

Hi
Hope everyone is okey
I have this question
Obtain the volume of the solid obtained by rotating the region x2 + y2 = r2 around the line x = a with a> r


Thanksss

 

[blamocur]

Looks like you are talking about the torus (assuming x2 stands for [imath]x^2[/imath], etc.). If that is correct then, according to https://en.wikipedia.org/wiki/Torus#Geometry, your volume should be [imath]4\pi^2ar^2[/imath]

 

[Deleted member 4993]

Looks like you are talking about the torus (assuming x2 stands for [imath]x^2[/imath], etc.). If that is correct then, according to https://en.wikipedia.org/wiki/Torus#Geometry, your volume should be [imath]4\pi^2ar^2[/imath]

Please do not provide "complete" answer before a poster displays original and significant effort. I would have stopped after providing the reference.

 

[blamocur]

Please do not provide "complete" answer before a poster displays original and significant effort. I would have stopped after providing the reference.

Good point -- thanks.

 

[Dr.Peterson]

I have this question
Obtain the volume of the solid obtained by rotating the region x² + y² = r² around the line x = a with a> r

This can be done using the methods of "washers" or of "cylindrical shells" (or by other methods as well). You haven't shown any work, so we don't know what you have learned, what method you would like to use, or where you got stuck trying it.

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