Given is the sphere $K$ with center $M ( 3 | - 6 | 5 )$ and radius $2 \sqrt { 6 }$. Give an equation of $K$ in coordinate form and show that the point $P ( 5 | - 4 | 1 )$ lies on $K$.
Given is the sphere $K$ with center $M ( 3 | - 6 | 5 )$ and radius $2 \sqrt { 6 }$.
Give an equation of $K$ in coordinate form and show that the point $P ( 5 | - 4 | 1 )$ lies on $K$.