To Find : The distance of plane P from center point O of the sphere .
Answer to Problem 20WE
The distance of plane p from center point O of the sphere is
Explanation of Solution
Given information:
In above figure a plane p cuts sphere from the centre point O at the sphere in a
Diameter of sphere CD= 30
In sphere diameter CD bisects plane P diameter AB=24 into two equal parts from the midpoint M which means
Or it can be define as
If
And if diameter of sphere CD=30 then radius
To find the measure of let
Use Pythagoras theorem:
In triangle ΔOMB.
Here
Subtract 100 to the both sides of the equation
Take the square root and simplify as below:
Therefore, measure of distance of plane P from center point O of the sphere is
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