#### 1994-1995 ACM International Collegiate Programming Contest

Western
European Regional

Practice Session

# Problem F

## Soccer

Last summer, the United States have been fascinated by
soccer. Not that they actually enjoyed the sport, but they were amazed that
there were people prepared to fly in all the way from Europe, pay a huge amount
of money, and then just sit around for ninety minutes watching 22 guys running
after a ball. Even with a strike going on, base ball seems more enjoyable.
Anyway, John found himself watching one of the games on television and, being
used to American Football where the ball has a funny shape, wondered if
calculating the surface area of the ball could be done using the mathematics he
had learned at high school. Maybe you can assist him, assuming that the balls
used for soccer are perfect spheres and the surface of a sphere is 4 × p × *r* ² (I do not need to tell you that p is 3.1415926535...).

### Input Specification

The first line of input is an integer *N*
specifying the number of test cases. The next *N* lines each contain the
radius *R* of a ball (in centimeters), where *R* is a non-negative
integer less than 100.
### Output Specification

For each test case, print the text: '```
A ball
with radius
```*R* has a surface area of *S* square meters.

',
where *R* is the radius in meters, with a fractional part of exactly two
digits, and *S* is the surface area of the ball, rounded to a fractional
part of exactly four digits.
### Example Input

3
1
10
100

### Example Output

A ball with radius 0.01 has a surface area of 0.0013 square meters.
A ball with radius 0.10 has a surface area of 0.1257 square meters.
A ball with radius 1.00 has a surface area of 12.5664 square meters.