सबसे बड़े गोले का आयतन ज्ञात कीजिए जिसे 21 सेमी भुजा वाले घन से काटकर बनाया गया है।

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NTPC CBT-I (Held On: 11 Jan 2021 Shift 1)
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  1. 4851 सेमी3
  2. 4158 सेमी3
  3. 5841 सेमी3
  4. 8514 सेमी3

Answer (Detailed Solution Below)

Option 1 : 4851 सेमी3
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Detailed Solution

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दिया गया है: 

घन की भुजा = 21 सेमी

प्रयुक्त सूत्र:

गोले का आयतन = 4/3πr3

गणना:

 

F1 Arun K 22-12-21 Savita D3

21 सेमी भुजा वाले घन से जो सबसे बड़ा गोला बनाया जा सकता है उसका व्यास 21 सेमी के बराबर होगा।

गोले की त्रिज्या = 21/2 सेमी

गोले का आयतन = 4/3 × 22/7 × 21/2 × 21/2 × 21/2

⇒ 11 × 21 × 21 

⇒ 4851 सेमी3

∴ अभीष्ट परिणाम 4851 सेमीहै।

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