- #1

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## Homework Statement

Find an equation of the largest sphere with center (5, 4, 9) that is contained in the first octant.

## Homework Equations

x

^{2}+ y

^{2}+ z

^{2}

## The Attempt at a Solution

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(x - 5)

^{2}+ (y - 4)

^{2}+ (z - 9)

^{2}= R

^{2}

I am under the impression that R must be no greater than 4, is this true?

My logic stems from the fact that the center is situated at (5, 4, 9), so it is only 4 units away from the y axis. If R > 4, then it will intersect the XZ plane. My textbook does not have answers, so I am not sure if my reasoning is valid.