Find the volume bounded by the cylinders $\displaystyle x^2+y^2=r^2$ and $\displaystyle y^2+z^2=r^2$.
That's the full question, and I am confused because both of those equations would seem to form circles.
Yes, we have gone over multiple integrals and I understand that part of the notation, but little else.
1. Where did that integrand come from?
2. What does the $\displaystyle x^2+y^2\leq r^2$ region mean? I've looked over my past notes and there is definitely nothing like that in there.