THIS MONTH'S QUIZ
1. Find the length of side of the smallest closed cubical box which can contain two snooker balls, each of diameter 2 inches.
2. Three snooker balls, each of diameter 2 inches, rest on a horizontal table. Each ball touches the other two, and a fourth similar ball rests on top, touching each of the first three. Find the height of the pile.
3. Fifteen snooker balls, each of diameter 2 inches, are held together on the table by a rack in the form of an equilateral triangle. On top of these rests a second layer of ten balls, each touching three balls of the first layer. A third layer of six balls rests on top similarly, followed by a fourth layer of three balls, and a single ball is placed on top to complete the pyramid. Find the height of the pyramid.