<?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>A ball has been put in this basket so that it is touching all edges without curving any one of them. Find the volume of the ball.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Basket</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>false</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>1.0 0.0 0.0</coords>
</point>
<point>
<label>B</label>
<coords>0.30901699437494745 0.9510565162951535 0.0</coords>
</point>
<point>
<label>C</label>
<coords>-0.8090169943749473 0.5877852522924732 0.0</coords>
</point>
<point>
<label>F</label>
<coords>0.0 0.0 2.1228911104120876</coords>
</point>
<point>
<label>D</label>
<coords>-0.8090169943749475 -0.587785252292473 0.0</coords>
</point>
<point>
<label>E</label>
<coords>0.30901699437494723 -0.9510565162951536 0.0</coords>
</point>
</points>
<lines>
</lines>
</solid>
<camera>
<attitude>0.7938615870631465 -0.15681918651040833 0.12270304550559259 0.5745741779365378</attitude>
</camera>
</figure>
</figures>
<answer>
<type>number</type>
<value>2.382248567517585</value>
</answer>
</problem>