+10 A point in space (x,y,z) is randomly selected so that -1<= x <= 1,-1<= y <= 1,-1<= z <= 1. What is the probability that x^2+y^2+z^2<= 1?
+23245 A sphere of radius 1 is placed inside a cube with side length 2.
What is the probaility that a randomlychosen point is inside the sphere?
Volume of the sphere: V = (4/3)·pi·r3 ---> V = (4/3)·pi·13 ---> V = (4/3)·pi
Volume of the cube: V = s3 ---> V = 23 ---> V = 8
Probability: (4/3)·pi / 8
