Question

Find the volume of the region bounded by
z^2=x^2+y^2 and 2x=x^2+y^2.

The first one is a paraboloid and the second is a cylinder.

Answer 1

The only thing I can think of is \[\int\limits_{0}^{2}\int\limits_{-\pi/2}^{\pi/2}\int\limits_{r^2}^{rsintheta} r dr d \theta dz\]

Answer 2

that gives me 4

Answer 3

is that supposed to be 2z=x^2+y^2

Answer 4

nope

Answer 5

its a cylinder that is unbounded by z

Answer 6

its centered at x=1

Answer 7

oh ok i see