एक लंब वृत्तीय शंकु की ऊँचाई और तिर्यक ऊँचाई क्रमशः 3√23 सेमी और 16 सेमी दी गई है। π को 22/7 मानते हुए, इसी शंकु का वक्र पृष्ठीय क्षेत्रफल ज्ञात कीजिये।

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RRC Group D Previous Paper 3 (Held On: 19 Sep 2018 Shift 1)
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  1. 328 सेमी2
  2. 339 सेमी2
  3. 352 सेमी2
  4. 372 सेमी2

Answer (Detailed Solution Below)

Option 3 : 352 सेमी2
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Detailed Solution

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⇒ शंकु के वक्र पृष्ठीय क्षेत्रफल का सूत्र = πrl

जहाँ r त्रिज्या है और l शंकु की तिर्यक ऊँचाई है।

⇒ r = √(l2 – h2)

⇒ r = √(256 – 207)

⇒ r = √49 = 7 सेमी

 शंकु का वक्र पृष्ठीय क्षेत्रफल  = (22/7) × 7 × 16 = 352 सेमी2
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