Answer: x^2 + y^2 + z^2 = 5^2 or simplifying even further
x^2 + y^2 + z^2 = 25.
Explanation:
The implicit formula for a sphere with radius "r" centered at the origin (0, 0, 0) in three-dimensional space (x, y, z) is:
x^2 + y^2 + z^2 = r^2
In the case of a sphere with radius 5, the implicit formula becomes:
x^2 + y^2 + z^2 = 5^2
Simplifying further:
x^2 + y^2 + z^2 = 25
So, the implicit formula for a sphere with radius 5 is x^2 + y^2 + z^2 = 25.