Question

Find equation for the sphere whose center and radius is given
Center=$(2,3,4)$, Radius=$\sqrt{15}$

Answer 1

Equation of sphere: $(x-h{)}^2+(y-k{)}^2+(z-l{)}^2=r^2$

Given,

$C(2,3,4),r=\sqrt{15}$

$(x-2{)}^2+(y-3{)}^2+(z-4{)}^2=(\sqrt{15}{)}^2$

$(x-2{)}^2+(y-3{)}^2+(z-4{)}^2=15$

Hence the required equation.