<?xml version="1.0"?>
<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>O problemă-model din cadrul Geometriei.</comments>
</envelope>
<text>O sferă de diametru maxim este introdusă în această cupă care are forma unei prisme regulate unite cu o piramidă regulată. Iniţial cupa era plină cu apă. Află volumul apei dislocuită de sferă.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Cupa</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>false</labelled>
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<point>
<label>D</label>
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<point>
<label>I</label>
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</point>
<point>
<label>K</label>
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<point>
<label>A</label>
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<point>
<label>F</label>
<coords>0.996180339887499 0.0 -0.22702719636073543</coords>
</point>
<point>
<label>H</label>
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<point>
<label>C</label>
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<point>
<label>J</label>
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<point>
<label>B</label>
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<point>
<label>G</label>
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<point>
<label>E</label>
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</figure>
</figures>
<answer>
<type>number</type>
<value>4.2732230472552475</value>
</answer>
</problem>
