एक शंकु की तिर्यक ऊँचाई 10 cm है और त्रिज्या 6 cm है। शंकु का कुल पृष्ठीय क्षेत्रफल कितना है?

[π = 3.14 लीजिए]

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 3)
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  1. 292.4 cm2
  2. 312.2 cm2
  3. 305.4 cm2
  4. 301.44 cm2

Answer (Detailed Solution Below)

Option 4 : 301.44 cm2
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दिया गया है:

एक शंकु की तिर्यक ऊँचाई 10 cm है और त्रिज्या 6 cm है।

प्रयुक्त सूत्र:

शंकु का वक्र पृष्ठीय क्षेत्रफल = πrl

जहाँ r त्रिज्या है और l तिर्यक ऊँचाई है। 


l2 = r2 + h2

कुल पृष्ठीय क्षेत्रफल = πr(l+r)

गणना:

प्रश्नानुसार,

शंकु का कुल पृष्ठीय क्षेत्रफल है,

⇒ πr(l+r)

⇒ 3.14×6(10+6)

⇒ 3.14×6×16

⇒ 301.44 cm2

∴ सही विकल्प है। 

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