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ZOJ Problem Set - 3866
Cylinder Candy

Time Limit: 2 Seconds      Memory Limit: 65536 KB      Special Judge

Edward the confectioner is making a new batch of chocolate covered candy. Each candy center is shaped as a cylinder with radius r mm and height h mm.

The candy center needs to be covered with a uniform coat of chocolate. The uniform coat of chocolate is d mm thick.

You are asked to calcualte the volume and the surface of the chocolate covered candy.


There are multiple test cases. The first line of input contains an integer T(1≤ T≤ 1000) indicating the number of test cases. For each test case:

There are three integers r, h, d in one line. (1≤ r, h, d ≤ 100)


For each case, print the volume and surface area of the candy in one line. The relative error should be less than 10-8.

Sample Input

1 1 1
1 3 5

Sample Output

32.907950527415 51.155135338077
1141.046818749128 532.235830206285

Author: ZHOU, Yuchen
Source: The 15th Zhejiang University Programming Contest
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