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