Problem
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:
Solution
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 \(\boxed{4}\).
