<?xml version="1.0" encoding="UTF-8"?>
<solution 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>Esta solução é parte do repositório do Geometria.</comments>
</envelope>
<problem>
<envelope>
<author>
<name>Stelian Dumitrascu</name>
<email>stelian@geocentral.net</email>
<web>http://geocentral.net/geometria</web>
</author>
<comments>Este problema é parte do repositório do Geometria.</comments>
</envelope>
<text>A aresta DI deste prisma reta é o eixo de um cilindro. A aresta CH pertence à superfície do cilindro. Encontre o volume da parte comum dos dois sólidos.</text>
<notepad>
</notepad>
<figures>
<figure>
<name>Prisma</name>
<color>#ffff</color>
<transparent>true</transparent>
<labelled>true</labelled>
<solid>
<points>
<point>
<label>A</label>
<coords>1.1176596467718916 -0.029529148072845124 -0.5</coords>
</point>
<point>
<label>B</label>
<coords>0.08118513833431285 0.8092703740774122 -0.5</coords>
</point>
<point>
<label>C</label>
<coords>-1.036848850415582 0.4459991100747319 -0.5</coords>
</point>
<point>
<label>F</label>
<coords>1.1176596467718916 -0.029529148072845124 0.5</coords>
</point>
<point>
<label>D</label>
<coords>-0.6913573476030561 -0.6173144003653181 -0.5</coords>
</point>
<point>
<label>E</label>
<coords>0.6402021327092596 -0.9112070265115548 -0.5</coords>
</point>
<point>
<label>G</label>
<coords>0.08118513833431285 0.8092703740774122 0.5</coords>
</point>
<point>
<label>H</label>
<coords>-1.036848850415582 0.4459991100747319 0.5</coords>
</point>
<point>
<label>I</label>
<coords>-0.6913573476030561 -0.6173144003653181 0.5</coords>
</point>
<point>
<label>J</label>
<coords>0.6402021327092596 -0.9112070265115548 0.5</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>1.3138662365345313</value>
</answer>
</problem>
<log>
<action>
<className>GMeasureDistanceAction</className>
<figureName>Prisma</figureName>
<p1Label>I</p1Label>
<p2Label>H</p2Label>
<variableName>Raio</variableName>
</action>
<action>
<className>GMeasureAngleAction</className>
<figureName>Prisma</figureName>
<p0Label>I</p0Label>
<p1Label>J</p1Label>
<p2Label>H</p2Label>
<variableName>Angulo</variableName>
</action>
<action>
<className>GMeasureDistanceAction</className>
<figureName>Prisma</figureName>
<p1Label>D</p1Label>
<p2Label>I</p2Label>
<variableName>Altura</variableName>
</action>
<action>
<className>GCalcEvaluateAction</className>
<variableName>Volume</variableName>
<expression>Altura*Raio^2*(Angulo/2)</expression>
</action>
<action>
<className>GSolutionAnswerAction</className>
<value>Volume</value>
</action>
</log>
</solution>