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<div id="nodeDecoration"><p id="nodeTitle">Recapitulation</p></div>
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<p>
1. A cylinder, a cone and a hemisphere are of equal base and have the same height. the ratio of their volumes is    
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   :    
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    :    
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<span style="display: none;" 
id="clozeAnswer43_22.2">JXUwMDZh
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<p>
2. Solid spheres of radii 3 cm, 4 cm and 5 cm are melted to form a single solid sphere. The radius of new sphere is  
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  cm  
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<div id="taquestion44_2" class="block" style="display:block"><p class="MsoBodyTextIndent" style="margin-left: 27.35pt; text-align: left; text-indent: -27.35pt; line-height: 150%" align="left">
<span style="font-size: 12pt; line-height: 150%">Q1<span>    </span>The length of the
largest pole that can be kept in a room (12m x 9m x 8m) is <o:p></o:p></span>
</p>
<p class="MsoBodyTextIndent" style="margin-left: 27.35pt; text-align: left; text-indent: -27.35pt; line-height: 150%" align="left">
<span style="font-size: 12pt; line-height: 150%"><o:p> </o:p></span>
</p>
</div> &nbsp;&nbsp;
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<tbody>
<tr><td><input type="radio" name="option44_2" id="i44_5" onclick="getFeedback(0,4,'44_2','multi')"/></td><td>
<div id="taans44_5" class="block" style="display:block">29 m
</div></td></tr>
<tr><td><input type="radio" name="option44_2" id="i44_38" onclick="getFeedback(1,4,'44_2','multi')"/></td><td>
<div id="taans44_38" class="block" style="display:block">21 m
</div></td></tr>
<tr><td><input type="radio" name="option44_2" id="i44_41" onclick="getFeedback(2,4,'44_2','multi')"/></td><td>
<div id="taans44_41" class="block" style="display:block">19 m 
</div></td></tr>
<tr><td><input type="radio" name="option44_2" id="i44_44" onclick="getFeedback(3,4,'44_2','multi')"/></td><td>
<div id="taans44_44" class="block" style="display:block">17 m 
</div></td></tr>
</tbody>
</table>
<div id="sa0b44_2" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
<div id="sa1b44_2" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
<div id="sa2b44_2" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
<div id="sa3b44_2" style="color: rgb(0, 51, 204);display: none;"><div id="taf44_44" class="block" style="display:block">The diagonal of a cuboid is √(x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup>)
</div></div>
<br/><div id="taquestion44_47" class="block" style="display:block"><span style="font-size: 12pt; line-height: 150%">Q2.<span>  </span><span> </span>If the areas of the three adjacent faces of a
cuboid are x, y, z respectively,</span>
<span style="font-size: 12pt; line-height: 150%">then the volume of the cuboid is </span>
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<div id="taans44_50" class="block" style="display:block">xyz
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<tr><td><input type="radio" name="option44_47" id="i44_53" onclick="getFeedback(1,4,'44_47','multi')"/></td><td>
<div id="taans44_53" class="block" style="display:block">2xyz
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<div id="taans44_56" class="block" style="display:block">√xyz
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<tr><td><input type="radio" name="option44_47" id="i44_59" onclick="getFeedback(3,4,'44_47','multi')"/></td><td>
<div id="taans44_59" class="block" style="display:block"><sup>3</sup>√xyz
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<div id="sa0b44_47" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
<div id="sa1b44_47" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
<div id="sa2b44_47" style="color: rgb(0, 51, 204);display: none;"><div id="taf44_56" class="block" style="display:block"><p>
lb *bh * hl = xyz
</p>
<p>
i.e. (lbh)<sup>2</sup> = xyz
</p>
<p>
volume = √(xyz) 
</p>
</div></div>
<div id="sa3b44_47" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
<br/><div id="taquestion44_62" class="block" style="display:block"><p class="MsoBodyTextIndent" style="margin-left: 27.35pt; text-align: left; text-indent: -27.35pt; line-height: 150%" align="left">
<span style="font-size: 12pt; line-height: 150%">Q3. <span>  </span>The radii of two
cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3 . The
ratio of their volumes is <o:p></o:p></span>
</p>
<p class="MsoBodyTextIndent" style="margin-left: 27.35pt; text-align: left; text-indent: -27.35pt; line-height: 150%" align="left">
<span style="font-size: 12pt; line-height: 150%"><br />
<o:p></o:p></span>
</p>
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<tr><td><input type="radio" name="option44_62" id="i44_65" onclick="getFeedback(0,4,'44_62','multi')"/></td><td>
<div id="taans44_65" class="block" style="display:block"><span style="font-size: 12pt; line-height: 150%"><span></span>27 : 20<span> </span></span>
</div></td></tr>
<tr><td><input type="radio" name="option44_62" id="i44_68" onclick="getFeedback(1,4,'44_62','multi')"/></td><td>
<div id="taans44_68" class="block" style="display:block"><span style="font-size: 12pt; line-height: 150%"> 20 : 27<span> </span></span>
</div></td></tr>
<tr><td><input type="radio" name="option44_62" id="i44_71" onclick="getFeedback(2,4,'44_62','multi')"/></td><td>
<div id="taans44_71" class="block" style="display:block"><span style="font-size: 12pt; line-height: 150%"><span> </span>4 : 9<span> </span></span>
</div></td></tr>
<tr><td><input type="radio" name="option44_62" id="i44_74" onclick="getFeedback(3,4,'44_62','multi')"/></td><td>
<div id="taans44_74" class="block" style="display:block"><span style="font-size: 12pt; line-height: 150%"><span></span>9 : 4</span>
</div></td></tr>
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<div id="sa0b44_62" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
<div id="sa1b44_62" style="color: rgb(0, 51, 204);display: none;">Correct</div>
<div id="sa2b44_62" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
<div id="sa3b44_62" style="color: rgb(0, 51, 204);display: none;">Wrong</div>
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