Integrating to find the volume of a finite region

[james525]

Find the volume of the finite region enclosed by the surfaces z = 0 and
x2 + y2 + z = 1

I know I have to do triple integration on dV to accomplish this but do not know where to start and what limits to use for x, y and z?

Cheers guys

 

[tiny-tim]

welcome to pf!

hi james! welcome to pf!

(try using the X² icon just above the Reply box )

I know I have to do triple integration on dV to accomplish this but do not know where to start and what limits to use for x, y and z?

no, it's symmetric, so you can get away with a single integration!

first sketch the region (so that you know what it looks like), then slice it into very thin slices whose area you already know