కుడి వృత్తాకార శంఖువు యొక్క పరిమాణం, దాని ఎత్తుకు సమానమైన మూల వ్యాసార్థం మరియు అర్ధగోళ పరిమాణం సమానంగా ఉంటాయి. అర్ధగోళానికి శంఖువు యొక్క రేడియాల నిష్పత్తి:

This question was previously asked in
RRB ALP Previous Paper 4 (Held On: 10 Aug 2018 Shift 2)
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  1. 2 : 1
  2. √2 : 1
  3. ∛2 : 1
  4. 3√3 : 3√2

Answer (Detailed Solution Below)

Option 3 : ∛2 : 1
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శంఖువు యొక్క వ్యాసార్థం = శంఖువు యొక్క ఎత్తు

శంఖువు యొక్క వ్యాసార్థం r మరియు అర్ధగోళం యొక్క వ్యాసార్థం R గా ఉండనివ్వండి.

శంఖువు యొక్క ఘనపరిమాణం అర్ధగోళం యొక్క ఘనపరిమాణానికి సమానంగా ఉంటుంది

⇒ 1/3πr2.r = 2/3πR3

⇒ r3 = 2R3

⇒ r3 = 2R3

∴ r ∶ R = ∛2 ∶ 1
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