SOLUTION: a ball with a diameter of 20 is partially submerged in a pool full of water so the top of the ball is 5 inches above the surface. The intersection of the ball and the waters surfac
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: a ball with a diameter of 20 is partially submerged in a pool full of water so the top of the ball is 5 inches above the surface. The intersection of the ball and the waters surfac
Log On
Question 672233: a ball with a diameter of 20 is partially submerged in a pool full of water so the top of the ball is 5 inches above the surface. The intersection of the ball and the waters surface forms a circle, find its circumfrence. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! a ball with a diameter of 20 is partially submerged in a pool full of water so the top of the ball is 5 inches above the surface.
The intersection of the ball and the waters surface forms a circle, find its circumference.
:
A chord (c) on the circle formed in the center of the ball, would be the diameter of the circle on the surface of the water.
:
Find the length of half the chord using Pythagoras, mult by 2:
(the radius is the hypotenuse, one side is the center dist to the chord)
c = 2 *
c = 17.32 is the chord and the diameter of circle on the surface
therefore
17.32 * pi = 54.4 inches
: