उस शंकु का कुल पृष्ठीय क्षेत्रफल (सेमी2 में) ज्ञात कीजिए जिसकी त्रिज्या 5 सेमी और तिर्यक ऊँचाई 16 सेमी है। (π = 22/7 उपयोग करे)

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UP Police SI (दरोगा) Official PYP (Held On: 21 Nov 2021 Shift 2 )
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  1. 350
  2. 360
  3. 330
  4. 340

Answer (Detailed Solution Below)

Option 3 : 330
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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दिया गया है:

त्रिज्या (r) = 5 सेमी

तिर्यक ऊँचाई (l) = 16 सेमी

प्रयुक्त सूत्र:

शंकु का कुल पृष्ठीय क्षेत्रफल = πr(r + l)

जहाँ, π = 22/7

गणना:

कुल पृष्ठीय क्षेत्रफल = (22/7) × 5 × (5 + 16)

⇒ कुल पृष्ठीय क्षेत्रफल = (22/7) × 5 × 21

⇒ कुल पृष्ठीय क्षेत्रफल = (22 × 5 × 21)/7

⇒ कुल पृष्ठीय क्षेत्रफल = (2310)/7

⇒ कुल पृष्ठीय क्षेत्रफल = 330 सेमी2

∴ सही उत्तर विकल्प (3) है।

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