Juggler123
Nov2-09, 10:28 AM
I need to find the volume between the cone z=sqrt(x^2+y^2) and the sphere x^2+y^2+z^2=1 that lies in the first octant. Now I've used cylindrical coordinates for this and found the limits to be
0<theta<pi/2
0<r<1/sqrt(2)
r<z<sqrt(1-r^2)
I've done the triple integral and found the answer to be \frac{\pi}{6} - \frac{\sqrt{2}\pi}{12}
Just want to check to see if this is correct, as I'm not fully sure about the limits I've got. Any help would be great, thanks!
0<theta<pi/2
0<r<1/sqrt(2)
r<z<sqrt(1-r^2)
I've done the triple integral and found the answer to be \frac{\pi}{6} - \frac{\sqrt{2}\pi}{12}
Just want to check to see if this is correct, as I'm not fully sure about the limits I've got. Any help would be great, thanks!