Question

Given a sphere with center (3,3,5) that is tangent to the xz and yz planes, I can say this sphere is radius 3, because the sphere must exactly touch the xz and yz planes, which are 3 units from the center... Does this sound right? Anybody?

Answer 1

And this means that the equation for said sphere is then \[(x-3)^2+(y-3)^2+(z-5)^2=3^2\] ?