अर्धगोले का आयतन 19,404 सेमी3 है। अर्धगोले की त्रिज्या _______ है।

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 14 सेमी
  2. 19 सेमी
  3. 21 सेमी
  4. 17 सेमी

Answer (Detailed Solution Below)

Option 3 : 21 सेमी
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दिया गया है:

अर्धगोले का आयतन 19,404 सेमी3 है। 

प्रयुक्त अवधारणा:

अर्धगोले का आयतन = 2/3πr3

यहाँ, = त्रिज्या

गणना:

प्रश्नानुसार,

2/3πr3 = 19404

⇒ 2/3 × 22/7 × r3 = 19404

⇒ 2/3 × 22/7 × r3 = 19404

⇒ r3 = 9261

⇒ r = 21

इसलिए, त्रिज्या = 21 सेमी

∴ अर्धगोले की त्रिज्या 21 सेमी है।

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