Answer
$(x-1)^2+(y+2)^2+(z-4)^2=4$
Work Step by Step
The general equation of sphere with center $C(p,q,r)$ and radius $R$ is given by:
$(x-p)^2+(y-q)^2+(z-r)^2=R^2$
Here, we have center: $C(1,-2,4)$ and radius: $R=2$
$(x-1)^2+(y-(-2))^2+(z-4)^2=(2)^2$
or, $(x-1)^2+(y+2)^2+(z-4)^2=4$
Thus, the equation of sphere is: $(x-1)^2+(y+2)^2+(z-4)^2=4$
