যদি একটি গোলকের আয়তন 24,416.64 সেমি3 হয়, তাহলে এর পৃষ্ঠের ক্ষেত্রফল (π = 3.14 ধরে নিয়ে) দশমিকে নির্ণয় করুন।

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 1)
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  1. 3069.55 সেমি2
  2. 4069.44 সেমি2
  3. 5069.66 সেমি2
  4. 6069.67 সেমি2

Answer (Detailed Solution Below)

Option 2 : 4069.44 সেমি2
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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প্রদত্ত:

একটি গোলকের আয়তন 24,416.64 সেমি3

অনুসৃত ধারণা:

গোলকের আয়তন = 4/3πr3

গোলকের পৃষ্ঠের ক্ষেত্রফল = 4πr2

এখানে,

r = ব্যাসার্ধ

গণনা:

4/3πr3 = 24416.64

⇒ r3 = 24416.64 × (3/4) × 1/3.14

⇒ r3 = 5832

⇒ r = 18

এখন,

পৃষ্ঠের ক্ষেত্রফল = 4 × 3.14 × 182

⇒ 12.56 × 324

⇒ 4069.44 সেমি2

∴ গোলকের পৃষ্ঠের নির্ণেয় ক্ষেত্রফল 4069.44 সেমি2.

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