Answer the following questions about the sphere whose equation is given by
\[
x^{2}+y^{2}+z^{2}-8 x+6 y=11
\]
1. Find the radius of the sphere.
Radius: $r=$
2. Find the center of the sphere. Write the center as a point $(a, b, c)$ where $a, b$, and $c$ are numbers.
Center:

Answer

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Answer

Hence, the radius of the sphere is $\boxed{4}$.

Steps

Step 1 ：Completing the square in $x$, $y$, and $z$, we get $(x - 4)^2 + (y + 3)^2 + z^2 = 16$.

Step 2 ：Hence, the radius of the sphere is $\boxed{4}$.