Consider the Solid Sphere $( x - 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } \leq 9$

Essay

Consider the solid sphere $( x - 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z - 2 ) ^ { 2 } \leq 9$ . Which of the following points are inside the sphere?
(i) (0, 0, 0)
(ii) (2, 2, 2)
(iii) $( 3 , - 1,1 )$ (iv) $( - 1,1,1 )$