Problema Solution
A wooden sphere of radius 15 inches rest in a circular hole in a board. The radius of the hole is 5 inches. How far below the upper surface of the board does the sphere extend?
Answer provided by our tutors
let 'd' represent the distance bellow the surface of the board
Make a drawing and use Pythagorean Theorem:
d = 15 - (15^2 - 5^2)^0.5
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click here to see the step by step calculation
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d = 0.86 in
The sphere extends 0.86 inches below the upper surface of the board.