घनाच्या बाजूची लांबी 5.6 सेमी आहे. घनामधून बाहेर काढता येणार्या सर्वात मोठ्या गोलाचे आकारमान किती आहे?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 91.98 सेमी3
  2. 99.96 सेमी3
  3. 96.98 सेमी3
  4. 90.69 सेमी3

Answer (Detailed Solution Below)

Option 1 : 91.98 सेमी3
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Detailed Solution

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दिलेल्याप्रमाणे:  

घनाची कडा = 5.6 सेमी

वापरलेले सूत्र:

गोलाचे आकारमान = (4/3) × π × r3

गणना:

गोलाचा व्यास = घनाची कडा

⇒ 2 × गोलाची त्रिज्या = 5.6 सेमी

⇒ गोलाची त्रिज्या = 5.6/2 = 2.8 सेमी

गोलाचे आकारमान = (4/3) × (22/7) × (2.8)3

⇒ 88/21 × 21.952

⇒ 91.98

∴ घनातून बाहेर काढता येणार्‍या सर्वात मोठ्या गोलाचे आकारमान 91.98 सेमी3 आहे.

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