Find volume of solid generated by rotating it around x=5

[hillabbym]

Find the volume of the solid generated by rotating the region bounded by the graphs of the equations y=3-x y=0 y=2 x=0 about x=5

 

[Deleted member 4993]

Find the volume of the solid generated by rotating the region bounded by the graphs of the equations y=3-x y=0 y=2 x=0 about x=5

What are your thoughts?

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[hillabbym]

I know that it is a washer. So you have to subtract the inside radius from the outside. The larger radius i know is 5 but I am having some trouble figuring out the smaller radius. You have to rewrite the function in terms of x which gives you x=3-y. That would be part of the larger radius and I think you would either have to subtract or add five to the function to get the rest...But i am not sure which one and how you would know which one...

 

[stapel]

I know that it is a washer. So you have to subtract the inside radius from the outside. The larger radius i know is 5 but I am having some trouble figuring out the smaller radius. You have to rewrite the function in terms of x which gives you x=3-y. That would be part of the larger radius and I think you would either have to subtract or add five to the function to get the rest...But i am not sure which one and how you would know which one...

Try drawing a picture!