Let (3, 4, -1) and (-1, 2, 3) be the endpoints of a diameter of a sphere. Then, the radius of the sphere is equal to

Question

Philoid · Accepted Answer

Given: P(3, 4, -1) and Q(-1, 2, 3) represents diameter of sphere

To find: Radius of the sphere

Formula used:

The distance between any two points (a, b, c) and (m, n, o) is given by,

Therefore,

Distance between P(3, 4, -1) and Q(-1, 2, 3), PQ is

= 6

So, Diameter = 6

We know that Diameter = 2 Radius

Hence, Radius of the sphere is 3 units