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<html><body><h2 id="content-id-2560478139-2"><b>Mensuration Questions Overview</b></h2><p>Mensuration Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Mensuration Questions.</p><h2 id="content-id-7045691283-3"><b>Question On Mensuration </b></h2>The ratio of the heights of a right circular cone and a right circular cylinder is 3 : 8 and the ratio of the radii of their bases is 8 : 5. If the volume of the cylinder is 400 cm3, then the volume (in cm3) of the cone is:
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 37 Seconds </h3></div></div><h2 id="content-id-6248970531-4"><b> Mensuration Questions Options</b></h2><ol><li><p>131</p>
</li><li><p>124</p>
</li><li><p>128</p>
</li><li><p>134</p>
</li></ol> <h2 id="content-id-6073192845-5"><b> Mensuration Questions Solution</b></h2><p>The correct answer is <strong>Option 3</strong> i.e. <strong>128</strong>.</p>

<p>Let the heights of the cone and cylinder be 3x and 8x</p>

<p>And the radius of the bases is 8y : 5y</p>

<p>Volume of cylinder = πr<sup>2</sup>h = π(5y)<sup>2</sup> × 8x</p>

<p>Volume of cone = <span class="math-tex">\(1\over3\)</span>πr<sup>2</sup>h = <span class="math-tex">\(1\over3\)</span>π(8y)<sup>2</sup> × 3x</p>

<p>⇒ Volume of cylinder/Volume of cone = <span class="math-tex">\(â&#128;&#139; Ï&#128;(5y)^2Â Ã&#151; 8x\over{1\over3}Ï&#128;(8y)^2Â Ã&#151; 3x â&#128;&#139;\)</span></p>

<p>⇒ 400/Volume of cone = <span class="math-tex">\(â&#128;&#139; 25Â Ã&#151; 8\times3\over64Â Ã&#151; 3 â&#128;&#139;\)</span> </p>

<p>⇒ 400/Volume of cone = <span class="math-tex">\(â&#128;&#139;25\over8\)</span> </p>

<p>⇒ Volume of cone = <span class="math-tex">\(400\times8\over25\)</span> = 128</p>
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The correct answer is Option 3 i.e. 128. - Mensuration Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

The ratio of the heights - Mensuration Questions for Ssc Cgl

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