একটি চোঙের উচ্চতা 14 সেমি এবং বক্রতলের ক্ষেত্রফল 528 সেমি2 হলে চোঙের আয়তন কত?

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RRB NTPC CBT-I Official Paper (Held On: 28 Dec 2020 Shift 1)
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  1. 1244 সেমি3
  2. 792 সেমি3
  3. 1584 সেমি3
  4. 2538 সেমি3

Answer (Detailed Solution Below)

Option 3 : 1584 সেমি3
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Detailed Solution

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প্রদত্ত:

চোঙের বক্রতলের ক্ষেত্রফল = 528 সেমি2

উচ্চতা = 14 সেমি

অনুসৃত সূত্র:

বক্রতলের ক্ষেত্রফল = 2πRH

আয়তন = πR2H

গণনা:

CSA = 528 = 2 × 22/7 × R × 14

⇒ R = 6 সেমি

চোঙের আয়তন = 22/7 × 6 × 6 × 14 = 1584 সেমি3

∴ চোঙের আয়তন = 1584 সেমি3

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