একটি চোঙের পার্শ্বতলের ক্ষেত্রফল 3168 সেমি2 এবং এর উচ্চতা 48 সেমি। আয়তন খুঁজুন।

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 5244 সেমি3
  2. 5544 সেমি3
  3. 5644 সেমি3
  4. 16632 সেমি3

Answer (Detailed Solution Below)

Option 4 : 16632 সেমি3
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Detailed Solution

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প্রদত্ত:

চোঙের পার্শতলের ক্ষেত্রফল = 3168 সেমি2

উচ্চতা = 48 সেমি

অনুসৃত সূত্র:

চোঙের আয়তন = πr2h

চোঙের বক্রতলের ক্ষেত্রফল = 2πrh

গণনা:

⇒ 2πrh = 3168

⇒ 2 x 22/7 x r x 48 = 3168

⇒ r = 3168 x 7/(2 x 22 x 48)

⇒ r = 22176/2112

⇒ r = 10.5 সেমি

আয়তন = 22/7 x 10.5 x 10.5 x 48 = 16632 সেমি3

∴ সঠিক উত্তরটি হল 16632 সেমি3

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