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Chapter 10: Q. 5 (page 777)

Find the equation of the sphere center at \((2,-3,4)\) and radius \(6\).

Short Answer

Expert verified

The equation of sphere is \((x-2)^2+(y+3)^2+(z-4)^2=36\).

Step by step solution

01

Given Information

The center is at \((2,-3,4)\) and radius \(6\).

02

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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