Question

Plane P cuts sphere o in a circle that has diameter

20. If the diameter of the sphere is 30, how far is the
plane from O?​

Answer 1

5√5 ≈ 11.18 units

Explanation:

The Pythagorean theorem can be used to find the unknown leg of a triangle with hypotenuse 15 and one leg 10:

d = √(15^2 -10^2) = 5√(3^2 -2^2) = 5√5

The plane is 5√5 units from the center of the sphere.