Do not pour out
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 439 Accepted Submission(s): 24
Problem Description
You have got a cylindrical cup. Its bottom diameter is 2 units and its height is 2 units as well.
The height of liquid level in the cup is d (0 ¡Ü d ¡Ü 2). When you incline the cup to the maximal angle such that the liquid inside has not been poured out, what is the area of the surface of the liquid?
The height of liquid level in the cup is d (0 ¡Ü d ¡Ü 2). When you incline the cup to the maximal angle such that the liquid inside has not been poured out, what is the area of the surface of the liquid?
Input
The first line is the number of test cases. For each test case, a line contains a float-point number d.
Output
For each test case, output a line containing the area of the surface rounded to 5 decimal places.
Sample Input
4 0 1 2 0.424413182
Sample Output
0.00000 4.44288 3.14159 3.51241