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The shortest distance from the point (4, 0, 5) to the sphere (x−1)^2 +(y+2)^2 +z^2 =36 is?  

Guest Feb 28, 2017
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We take the distance between the center of the sphere and the point and subtract the radius of the sphere......

 

The sphere's  radius   = 6  and its center is (1, -2, 0)

 

So we have

 

√ [ (1 - 4)^2  + ( -2 - 0)^2 + (0 - 5)^2]  -  6   =  √ 38  -  6  ≈  0.1644 units

 

 

cool cool cool

CPhill  Feb 28, 2017

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