অর্ধগোলকের আয়তন 19,404 সেমি3। অর্ধগোলকের ব্যাসার্ধ কত সেমি?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 14 সেমি
  2. 19 সেমি
  3. 21 সেমি
  4. 17 সেমি

Answer (Detailed Solution Below)

Option 3 : 21 সেমি
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Detailed Solution

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প্রদত্ত:

অর্ধগোলকের আয়তন 19,404 সেমি3

অনুসৃত ধারণা:

অর্ধগোলকের আয়তন = 2/3πr3

এখানে r = ব্যাসার্ধ

গণনা:

প্রশ্নানুসারে,

2/3πr3 = 19404

⇒ 2/3 × 22/7 × r3 = 19404

⇒ 2/3 × 22/7 × r3 = 19404

⇒ r3 = 9261

⇒ r = 21

সুতরাং, ব্যাসার্ধ = 21 সেমি

∴ অর্ধগোলকের ব্যাসার্ধ 21 সেমি।

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