# A sphere of radius #15# inches rest on a circular hole of diameter #10# inches cut into a board. How far does the sphere extend below the surface of the board?

##### 1 Answer

Oct 12, 2015

#### Explanation:

In this diagram:

#a = sqrt(15^2 - 5^2) = sqrt(225-25) = sqrt(200) = 10sqrt(2)#

So the sphere extends