बराबर त्रिज्या वाले एक शंकु और एक बेलन का आयतन बराबर है। उनकी ऊँचाई का अनुपात क्या है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 4)
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  1. 2 ∶ 3
  2. 3 4
  3. 1 2
  4. 3 1

Answer (Detailed Solution Below)

Option 4 : 3 1
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दिया गया है:

बराबर त्रिज्या वाले एक शंकु और एक बेलन का आयतन बराबर है।

प्रयुक्त सूत्र:

बेलन का आयतन = πr2 h (r = त्रिज्या, h = ऊँचाई)

शंकु का आयतन = 1/3 πr2 h (r = त्रिज्या, h = ऊँचाई)

गणना:

मान लीजिए कि बेलन की ऊँचाई h1 है।

तो शंकु की ऊँचाई h2 है।

प्रश्न के अनुसार,

⇒ πr2 h1= 1/3 πr2h2

hh= 3 : 1

∴ सही विकल्प 4 है।

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