Chapter 11 - Vectors and Vector-Valued Functions - 11.2 Vectors in Three Dimensions - 11.2 Exercises - Page 778: 24

$(x-1)^2 + (y-2)^2 + z^2 = 33$

Equation for a sphere with $(a,b,c)$ as the center and has radius $r$ $(x-a)^2 + (y-b)^2 + (z-c)^2 = r^2$ Plugging in the center: $(x-1)^2 + (y-2)^2 + (z-0)^2 = r^2$ Plug in point ($3,4,5)$ $(3-1)^2 + (4-2)^2 + (5-0)^2 = 4 + 4 + 25 = 33$