HOME

TREATISE:
. Quantum
Nodal Theory

ROMALDKIRK:
. Village
. Reservoirs

ESSAYS: COSMOLOGY
. Infinity
. Universe

ESSAYS: PHILOSOPHY
. Free Will
. Representation
. Conditionals
. Postscript

ESSAYS: ORGAN MUSIC
. Practising
. British Organs
. Hymn Playing
. Music Lovers

QUIZ QUESTIONS
. Quiz Archive

SERVICES
. Book Reviews

## Quiz of the Month (October 2003)

### Hector C. Parr

***

#### SOLUTION TO LAST MONTH'S QUIZ

```    1.  26.18 sq.cm
2.  21.54 sq.cm
3.  21.65 sq.cm```

Notes
 ``` 1. r = 5 tan 30o So A = PI r2 = 26.179939 2. If side of square = x then x tan 30o + x/2 = 5 So x = 4.6410162 and x2 = 21.539031 3. If b = base and h = height then h = (5 - b/2) tan 60o So Area = bh = (5b - b2/2) tan 60o Completing the square, 5b - b2/2 achieves maximum value when b = 5. Then Area = 12.5 tan 60o = 21.650635```

#### 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.

***

(c) Hector C. Parr (2003)

Go to Quiz Archive