CYLINDER  Cylinder
Using a sheet of paper and scissors, you can cut out two faces to form a cylinder in the following way:
 Cut the paper horizontally (parallel to the shorter side) to get two rectangular parts.
 From the first part, cut out a circle of maximum radius. The circle will form the bottom of the cylinder.
 Roll the second part up in such a way that it has a perimeter of equal length with the circle's circumference, and attach one end of the roll to the circle. Note that the roll may have some overlapping parts in order to get the required length of the perimeter.
Given the dimensions of the sheet of paper, can you calculate the biggest possible volume of a cylinder which can be constructed using the procedure described above?
Input Specification
The input consists of several test cases. Each test case consists of two numbers w and h (1 ≤ w ≤ h ≤ 100), which indicate the width and height of the sheet of paper.
The last test case is followed by a line containing two zeros.
Output Specification
For each test case, print one line with the biggest possible volume of the cylinder. Round this number to 3 places after the decimal point.
Sample Input
10 10 10 50 10 30 0 0
Sample Output
54.247 785.398 412.095
In the first case, the optimal cylinder has a radius of about 1.591549, in the second case, the optimal cylinder has a radius of 5, and in the third case, the optimal cylinder has a radius of about 3.621795.
hide comments
Sigma Kappa:
20191219 01:17:08
Doesn't one simply calculate values at at most three different points? I am using PI = 2*acos(0.00). Lots of WA. Any corner cases? 

kass_97:
20170111 21:39:38
Idk why I had to face the compilation error, accepted second time with the same code :/ 

shantanu tripathi:
20150802 19:04:28
accepted in one go.. :)


alok singh:
20150802 19:02:20
silly mistake caused me one wrong ans.... :P


shubham:
20150726 21:10:40
for second case.....optimal radius should be 6.03..isn't it?


Dushyant Singh:
20150428 15:40:01
Last edit: 20150505 17:40:17 

Shubham Mohanka:
20141115 17:17:20
are there any corner cases.my output for the test cases is exact and i have use pi=3.141592653589.Still getting WA


ওয়াসী (Wasi):
20130429 12:04:19
My 50th Solved Classical...


lucky singh:
20130219 14:39:19
use double instead of float


Akb:
20121231 18:46:04
plz take a very accurate value of pi(i took 3.141592653589) to avoid senseless WAs... 
Added by:  Adrian Kuegel 
Date:  20070706 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  own problem, used in University of Ulm Local Contest 2007 