21 सेमी बाजूच्या घनातून कोरून काढता येणाऱ्या सर्वात मोठ्या गोलाचे आकारमान शोधा.

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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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दिलेले आहे:

घनाची बाजू = 21 सेमी

वापरण्यात आलेले सूत्र:

गोलाचे घनफळ = 4/3πr3

गणना:

F1 Arun K 22-12-21 Savita D3

21 सेमी बाजूच्या घनामधून जो सर्वात मोठा गोल कोरला जाऊ शकतो त्याचा व्यास 21 सेमी इतका असेल. 

गोलाची त्रिज्या = 21/2 सेमी

गोलाचे घनफळ = 4/3 × 22/7 × 21/2 × 21/2 × 21/2 

⇒ 11 × 21 × 21 

⇒ 4851 सेमी3

∴ अपेक्षित उत्तर 4851 सेमीआहे.

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