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3365：Cylinder

题目描述

Using a sheet of paper and scissors, you can cut out two faces to form a cylinder in the following way:

  1. Cut the paper horizontally (parallel to the shorter side) to get two rectangular parts.
  2. From the first part, cut out a circle of maximum radius. The circle will form the bottom of the cylinder.
  3. 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?

输入解释

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.

输出解释

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.

输入样例 
10 10
10 50
10 30
0 0
输出样例 
54.247
785.398
412.095
提示
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.
该题目是Virtual Judge题目，来自 北京大学POJ
题目来源 Ulm Local 2007
源链接： POJ-3365
最后修改于 2020-10-29T06:59:44+00:00 由爬虫自动更新
共提交 0 次
通过率 --%
时间上限 内存上限
1000 65536