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<html><body><h2 id="content-id-2037548169-2"><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-4705139682-3"><b>Question On Mensuration </b></h2>A solid metallic sphere of radius 10 cm is melted and recast into 125 identical spheres. What is the ratio of the surface area of the original sphere to the total surface area of 6 smaller spheres so formed?
<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 : 35 Seconds </h3></div></div><h2 id="content-id-5397482601-4"><b> Mensuration Questions Options</b></h2><ol><li><p>25 : 6</p>
</li><li><p>109 : 84</p>
</li><li><p>49 : 108</p>
</li><li><p>25 : 96</p>
</li></ol> <h2 id="content-id-1532470698-5"><b> Mensuration Questions Solution</b></h2><p>The correct answer is <strong>option 1</strong> i.e. <strong>25 : 6</strong>.</p>

<p>Volume of original sphere = (4/3)πR<sup>3</sup> = (4/3) × π × 10<sup>3</sup> = (4000/3)π cm<sup>3</sup></p>

<p>Volume of each smaller sphere = [(4000/3)π]/125 = (32/3)π cm<sup>3</sup></p>

<p>Let the radius of each smaller sphere = r cm</p>

<p>So, (4/3) × π × r<sup>3</sup> = (32/3)π</p>

<p>⇒ r<sup>3</sup> = 32/4 = 8</p>

<p>⇒ r = 2 cm</p>

<p>Surface area of original sphere = 4πR<sup>2</sup> = 4π × 10<sup>2</sup> = 400π cm<sup>2</sup></p>

<p>Surface area of one smaller sphere = 4πr<sup>2</sup> = 4π × 2<sup>2</sup> = 16π cm<sup>2</sup></p>

<p>Surface area of 6 smaller spheres = 6 × 16π = 96π cm<sup>2</sup></p>

<p>Ratio = 400π : 96π = 25 : 6</p>
<h2 id="content-id-2971360485-6"><b> Mensuration Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Mensuration_Questions_Tips_and_Tricks.png" alt="Mensuration Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Mensuration Questions without taking any help from the solutions.</li><li>Mensuration Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. 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The correct answer is option 1 i.e. 25 : - Mensuration Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

A solid metallic sphere o - Mensuration Questions for Ssc Cgl

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