X^2+y^2+z^2=2

3 answers

if you graph it at z = 0, you get a circle of radius sqrt 2
If you graph it at y = 0, you get a circle of radius sqrt 2
If you graph it at x = 0, you get a circle of radius sqrt 2
What do you think it might be ? :)
Equation of a sphere in 3D.
What about it?
The equation of a sphere in standard form is:

x² + y² + z² = r²

where

r = the radius

x² + y² + z² = 2

is sphere with radius r = √2

because ( √2 )² = 2