Let W be the region above the sphere x² + y² + z² = 6 and below the paraboloid z = 4 − x² − y².
(a) Show that the projection of W on the xy-plane is the disk x² + y² ≤ 2 (Figure 19).
(b) Compute the volume of W using polar coordinates.

Transcribed Image Text:

2 W z=4-x-y x + y+z = 6 6