సమాన త్రిజ్యలు కలిగి ఉన్న ఒక శంఖువు మరియు సిలిండర్ సమాన ఘనపరిమాణాలను కలిగి ఉంటాయి. వాటి ఎత్తుల నిష్పత్తి:

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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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Detailed Solution

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ఇచ్చిన:

సమాన త్రిజ్యాలను కలిగిన శంఖువు మరియు సిలిండర్ సమాన ఘనపరిమాణాలను కలిగి ఉంటాయి.

ఉపయోగించిన ఫార్ములా:

సిలిండర్ ఘనపరిమాణం = πr 2 h (r = వ్యాసార్థం, h = ఎత్తు)

కోన్ ఘనపరిమాణం= 1/3 πr 2 h (r = వ్యాసార్థం, h = ఎత్తు)

లెక్కింపు:

సిలిండర్ ఎత్తు h 1 గా ఉండనివ్వండి

అప్పుడు శంఖువు యొక్క ఎత్తు h2

ప్రశ్న ప్రకారం,

⇒ πr2 h1= 1/3 πr2h2

h2 : h1 = 3 : 1

∴ సరైన ఎంపిక 4

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