Question

a plane intersects a sphere 5 cm away from the center of the sphere. the cross section is a circle whose diameter is 12cm. determine the radius of the sphere

Answer 1

7.81 cm

Explanation:

diameter = 12, 12/2 = 6

(r+5)(r-5) = 6 * 6

r^2 - 25 = 36

r^2 = 61

r = 7.81

radius = 7.81 cm