Write an equation for the sphere with the given point as its center and the given number as its radius.
-$( 4,7,4 ) , \sqrt { \mathrm { r } }$
A) $( x + 4 ) ^ { 2 } + ( y + 7 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = r ^ { 2 }$
B) $( x - 4 ) ^ { 2 } + ( y - 7 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = r$
C) $( x - 4 ) ^ { 2 } + ( y - 7 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = \sqrt { r }$
D) $( x + 4 ) ^ { 2 } + ( y + 7 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 2 r$

Question

Quizplus · Accepted Answer

The equation of a sphere with center $(h, k, l)$ and radius $r$ is $(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2$. Given the center $(4,7,4)$ and radius $\sqrt{r}$, the correct equation is $(x - 4)^2 + (y - 7)^2 + (z - 4)^2 = r$, because $(\sqrt{r})^2 = r$.

Write an Equation for the Sphere with the Given Point (4,7,4),r( 4,7,4 ) , \sqrt { \mathrm { r } }(4,7,4),r​

Write an Equation for the Sphere with the Given Point $( 4,7,4 ) , \sqrt { \mathrm { r } }$