एक चेंडू 2 एककांच्या आतील त्रिज्येसह आणि 3 एककांच्या बाहेरील त्रिज्येसह बनवायचा आहे. चेंडू तयार करण्यासाठी किती सामग्री लागते?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. \(\frac{19}{3}\) π
  2. 19π
  3. \(\frac{76}{3}\) π
  4. π

Answer (Detailed Solution Below)

Option 3 : \(\frac{76}{3}\) π
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Detailed Solution

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दिलेली माहीती:

एक चेंडू 2 एककांच्या आतील त्रिज्येसह आणि 3 एककांच्या बाहेरील त्रिज्येसह बनवायचा आहे.

संकल्पना:

गोलकाची मात्रा = 4/3π(R3 - r3)

गणना:

गोलाकार चेंडूची मात्रा = चेंडू तयार करण्यासाठी साहित्य आवश्यक आहे.

चेंडू तयार करण्यासाठी लागणारी सामग्री = 4/3π(R3- r3)

4/3π(33 - 23)

⇒ 4/3π(19)

76/3π.

∴ चेंडू तयार करण्यासाठी लागणारे साहित्य 76/3π आहे.

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