I am stuck on this problem where we are given a spherical coordinate equation and must find the cartesian equation. The cartesian equation represents a sphere and they want us to find the center and radius. I have my work attached and the problem written there.

My plan of attack was just to substitute parts of the spherical coordinate equation with regular rectangular coordinates using conversion equations. I felt like I was getting very close to an equation of a sphere around the 4th line from the bottom. I am going to keep working on this problem, but a little insight would be extremely helpful!

Thank you for taking the time to read this post.

http://i.imgur.com/odUaZeV.png

Jacob