volumes (1 Viewer)

[swagswagyoloswag]

If it says to rotate around a line by 180 degrees would you find the normal rotation and halve it and why or why not?

 

[integral95]

I would find the whole thing then half it, given that it's easier to integrate with the equation.

 

[swagswagyoloswag]

So when rotating around y = x, you would find the normal volume with method of slicing and then after that you halve the final answer?

 

[integral95]

So when rotating around y = x, you would find the normal volume with method of slicing and then after that you halve the final answer?

This isn't in the 4U syllabus so I didn't learn to rotate around y = x.

it depends what integral you'd generate, if you get a much simpler integral from the area of the cross-section, then sure I would go for it.

 

[swagswagyoloswag]

This isn't in the 4U syllabus so I didn't learn to rotate around y = x.

it depends what integral you'd generate, if you get a much simpler integral from the area of the cross-section, then sure I would go for it.

What if it's method of slicing bounded by y = (x-1)^2 -1 by x = 1 rotated only 180 degrees?