SOLUTION: Find a parametric representation of the surface x^2+y^2+z^2=9 Show all your work/solution step by step.

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Question 1010999: Find a parametric representation of the surface x^2+y^2+z^2=9
Show all your work/solution step by step.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Find a parametric representation of the surface x^2+y^2+z^2=9
Show all your work/solution step by step.
That's the surface of a sphere with center (0,0,0) and radius 3, 
which is the graph of the semicircle 
z+=sqrt%289-x%5E2%29 -3%3C=x%3C=3, 0%3C=phi%3C2pi 

rotated about the z-axis.  Its parametrization is the vector 
function:

r%28u%2Cphi%29%22%22=%22%22

Edwin