Find the center and radius of the sphere whose equation is Round your answer to two decimal places,where applicable.
A) center: ; radius: 2.00
B) center: ; radius: 2.00
C) center: ; radius: 8.00
D) center: ; radius: 4.00
E) center: ; radius: 8.00

Question

Find the center and radius of the sphere whose equation is  Round your answer to two decimal places,where applicable. ​
A) center: ; radius: 2.00 
B) center: ; radius: 2.00 
C) center: ; radius: 8.00 
D) center: ; radius: 4.00 
E) center: ; radius: 8.00

Quizplus · Accepted Answer

The given equation is in the form $(x-a)^2+(y-b)^2+(z-c)^2=r^2$, where $(a,b,c)$ is the center of the sphere and $r$ is the radius.

Comparing with the given equation, we have:
\begin{align*}
(x-a)^2+(y-b)^2+(z-c)^2 &= r^2 \
\implies (x-11ea8970\_6a7e\_8441\_861b\_038547f1121b\_TB1301\_11)^2+(y-ab53)^2+(z-976dd20978d6)^2 &= 2^2
\end{align*}

This implies that the center of the sphere is $(11ea8970\_6a7e\_8441\_861b\_038547f1121b\_TB1301\_11, ab53, 976dd20978d6)$ and the radius is $2$. Choice B is the only one that matches the center and radius of the sphere.

Find the Center and Radius of the Sphere Whose Equation