The radius of the sphere with the given point and the center is √238.
Here we have to find the radius of the sphere.
Given data:
The point on the surface of a sphere is (-4, -6, 10) and the point on the center is (2, 3, -1).
The formula for the radius:
r² = (x2 - x1)² + (y2 - y1)² + (z2 - z1)²
where (x1, y1, z1) = point on the center
(x2, y2, z2) = point on the sphere
Now putting the values we have
r² = (-4-2)² + ( -6-3)² + ( 10 +1)²
=( -6)² +(- 9)² + (11)²
= 36 + 81 + 121
= 238
r = √238.
Therefore the radius is √ 238.
To know more about the sphere refer to the link given below:
https://brainly.com/question/22807400
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