A point in space (x,y,z) is randomly selected so that \(-1\le x \le 1, -1\le y \le 1, -1\le z \le 1\)What is the probability that \(x^2+y^2+z^2\le 1?\)
The locus described is the set of all points lying inside and on a sphere of radius 1. There is an infinite number of spheres inside this,represented by the equation x^2 + y^2 + z^2 less than or equal to 1.