Q. 5
Question
Find the equation of the sphere center at \((2,-3,4)\) and radius \(6\).
Step-by-Step Solution
Verified Answer
The equation of sphere is \((x-2)^2+(y+3)^2+(z-4)^2=36\).
1Step 1: Given Information
The center is at \((2,-3,4)\) and radius \(6\).
2Step 2: Equation of a sphere
Substitute center: \((2,-3,4)\) and radius \(6\) into formula.
\((x-2)^2+(y+3)^2+(z-4)=6^2\)
\((x-2)^2+(y+3)^2+(z-4)^2=36\).
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