Bag Of Balls
Three balls are placed inside a cone such that each ball is in contact with the edge of the cone and the next ball.
If the radii of the balls are 20 cm, 12 cm, and r cm respectively, what is the value of r?
Consider the following diagram.
Using similar triangles, (12 + r)/(12 r) = 32/8 = 4.
12 + r = 48 4r
5r = 36 r = 7.2 cm.
What if the radii of the three balls were 20 cm, r cm, and 10 cm?
If the top sphere has radius, x, and the bottom sphere has radius, y, find r in terms of x and y.