Question

Find the volume of the space region that lies inside the sphere x^2+y^2+z^2=2 and outside the cylinder y^2+z^2=1

what should be my solution way,and how can I easily solve that problem

Answer 1

Find the volume of the part of the sphere inside the cylinder, then subtract that from the volume of the cylinder.

Answer 2

err subtract it from the volume of the sphere rather.

Answer 3

The volume of the portion of the sphere inside the cylinder should be:
\[\int x_{sphere}dA\]
Where A is the area inside the cylinder.

Answer 4

ty ,I solved