<?xml version="1.0" encoding="UTF-8"?>
<problem xmlns="http://geocentral.net">
<version>3.1</version>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>This is a sample Geometria problem.</comments>
</envelope>
<text>This cube is to be carved into a cylinder whose radius is six times shorter than the cube&#39;s side. What is the maximum volume of the cylinder.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Cube</name>
<color>#ff9999</color>
<transparent>false</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>-1.0 -1.0 -1.0</coords>
</point>
<point>
<label>B</label>
<coords>1.0 -1.0 -1.0</coords>
</point>
<point>
<label>C</label>
<coords>1.0 1.0 -1.0</coords>
</point>
<point>
<label>E</label>
<coords>-1.0 -1.0 1.0</coords>
</point>
<point>
<label>D</label>
<coords>-1.0 1.0 -1.0</coords>
</point>
<point>
<label>F</label>
<coords>1.0 -1.0 1.0</coords>
</point>
<point>
<label>G</label>
<coords>1.0 1.0 1.0</coords>
</point>
<point>
<label>H</label>
<coords>-1.0 1.0 1.0</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>-0.5328608041697043 -0.3348186344436886 -0.41346657962945993 0.6580282918981487</attitude>
</camera>
</figure>
</figures>
<answer>
<type>number</type>
<value>0.8800971362925621</value>
</answer>
</problem>