Draw a "side view" of the cut sphere.
draw a line from centre of the circular cut to the centre of the sphere.
You will have a right-angled triangle with base 10 (half the diameter of the circle) and a hypotenuse of 15.
let the third side be h
h^2 + 10^2 = 15^2
h = √125
= 5√5
Your wording is confusing. You defined O as the name of the sphere.
If the plane cuts the sphere O, then to ask how far the plane is from the sphere makes no sense.
You must mean O is the centre of the sphere, which is what I found in the 5√5
A plane P cuts a sphere O in a circle that has a diameter of 20. If the diameter of the sphere is 30 how far is the plane from O?
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1 answer