একটি ঘনকের বাহুর দৈর্ঘ্য হল 5.6 সেমি। ঘনকের থেকে তৈরি করা যায় এমন বৃহত্তম গোলকের আয়তন কত?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 91.98 ঘনসেমি
  2. 99.96 ঘনসেমি
  3. 96.98 ঘনসেমি
  4. 90.69 ঘনসেমি

Answer (Detailed Solution Below)

Option 1 : 91.98 ঘনসেমি
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Detailed Solution

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প্রদত্ত:

ঘনকের প্রান্ত = 5.6 সেমি

অনুসৃত সূত্র:

গোলকের আয়তন = (4/3) × π × r3

গণনা:

গোলকের ব্যাস = ঘনকের প্রান্ত

⇒ 2 × গোলকের ব্যাসার্ধ = 5.6 সেমি

⇒ গোলকের ব্যাসার্ধ = 5.6/2 = 2.8 সেমি

গোলকের আয়তন = (4/3) × (22/7) × (2.8)3

⇒ 88/21 × 21.952

⇒ 91.98

∴ ঘনকের থেকে তৈরি করা যায় এমন বৃহত্তম গোলকের আয়তন হল 91.98 ঘনসেমি।

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