2 इकाई आंतरिक त्रिज्या और 3 इकाई बाह्य त्रिज्या वाली एक गेंद बनायी जाती है। गेंद को बनाने के लिए कितनी सामग्री की आवश्यकता होगी?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. π
  2. 19π
  3. π
  4. π

Answer (Detailed Solution Below)

Option 3 : π
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दिया गया है: 

2 इकाई आंतरिक त्रिज्या और 3 इकाई बाह्य त्रिज्या वाली एक गेंद बनायी जाती है।

अवधारणा: 

गोले का आयतन = 4/3π(R3 - r3)

गणना: 

गोलाकार गेंद का आयतनगेंद बनाने के लिए आवश्यक सामग्री

गेंद बनाने के लिए आवश्यक सामग्री
4/3π(R3 - r3)

4/3π(33 - 23)

गेंद बनाने के लिए आवश्यक सामग्री =  4/3π(19)

⇒ 76/3π.

गेंद बनाने के लिए आवश्यक सामग्री 76/3π है। 

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