एक घन की भुजा की लंबाई 2.8 सेमी है। घन से निकाले जा सकने वाले सबसे बड़े गोले का आयतन क्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 2)
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  1. 11.50 सेमी3
  2. 1.15 सेमी3
  3. 11.55 सेमी3
  4. 115 सेमी3

Answer (Detailed Solution Below)

Option 1 : 11.50 सेमी3
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दिया गया है:

वर्ग की भुजा की लंबाई = 2.8 सेमी

प्रयुक्त अवधारणा:

घन की लंबाई = गोले का व्यास

गोले का आयतन = 

गणना:

गोले का व्यास = 2.8 सेमी

गोले की त्रिज्या = 1.4 सेमी

गोले का आयतन = 

 x (1.4)3

~ 11.49 = 11.50 सेमी3

अत: सही उत्तर '11.50 सेमी3' है।

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