एक लम्बवृत्तीय शंकु की तिर्यक ऊँचाई और त्रिज्या क्रमशः 11 सेमी और 6 सेमी है। शंकु का वक्र पृष्ठीय क्षेत्रफल कितना है?

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SSC MTS Previous Year Paper (Held on: 12 July 2022 Shift 2)
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  1. 74π सेमी2
  2. 60π सेमी2
  3. 44 π सेमी2
  4. 66π सेमी2

Answer (Detailed Solution Below)

Option 4 : 66π सेमी2
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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Detailed Solution

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दिया गया है:

शंकु की तिर्यक ऊँचाई = 11 सेमी
शंकु की त्रिज्या = 6 सेमी

सूत्र :

एक शंकु का वक्र पृष्ठीय क्षेत्रफल = πrl, जहाँ r त्रिज्या है और l शंकु की तिर्यक ऊँचाई है।

गणना:

 वक्र पृष्ठीय क्षेत्रफल = πrl

⇒ π × 6 × 11

⇒ 66π 

अतः, शंकु का वक्र पृष्ठीय क्षेत्रफल 66π सेमी2 है।

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