Let S be the portion of the sphere x^2+y^2+z^2=4 with zor=sqrt2. Determine a parametrization for S. Clearly state the domain of your parametrization.Find the area of S.

Question

Let S be the portion of the sphere x^2+y^2+z^2=4 with z>or=sqrt2. Determine a parametrization for S. Clearly state the domain of your parametrization.Find the area of S.

anonymous · Answer

Can someone please check my answer.  I got -4pi(sqrt2 - 2) which is approximately 7.36 it looks about right since the total surface area of a sphere with radius 2 would be 16pi and half of the surface area is 8pi and my answer has to be less than these quantities and it is.  Just wanted another person out there check :-)