Ok so i just took a math test for my calc II class and this question was on there and im just not sure about it.

Find the volume of the region between the curves y=sin(x) and y=cos(x), x __>__ 0 rotated about the y-axis.

So i graphed sin(x) and cos(x) first.

when x

__>__ 0 and no boundaries are given (such as x=1) then i thought that this problem could not be calculated because when rotating those curves about the y-axis with no limitation in the x direction then the volume will just be infinitely large.

Does what i said above ^^^^ seem correct?

Thanks for any help