ఒక లంబ వృత్తాకార శంకువు ఆధార వ్యాసార్థం దాని ఎత్తులో మూడింట ఒక వంతుకు సమానం, ఆ లంబ వృత్తాకార శంఖువు యొక్క ఘనపరిమాణం గోళాకార పరిమాణంతో సమానంగా ఉంటుంది. శంఖువు యొక్క వ్యాసార్థం మరియు గోళం యొక్క వ్యాసార్థం యొక్క నిష్పత్తి ఎంత?

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RRB ALP Previous Paper 1 (Held On: 9 Aug 2018 Shift 1)
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  1. ∛(3) : ∛2
  2. 1 : 1
  3. ∛(4) : 1
  4. ∛4 : ∛3

Answer (Detailed Solution Below)

Option 4 : ∛4 : ∛3
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Detailed Solution

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శంఖువు ఘనపరిమాణం = (1/3)πr 2 h

⇒ r = h/3

శంఖువు ఘనపరిమాణం = πr 3

గోళం ఘనపరిమాణం = (4/3)πR 3

⇒ శంఖువు ఘనపరిమాణం = గోళం ఘనపరిమాణం

⇒ r 3 = (4/3)R 3

శంఖువు యొక్క వ్యాసార్థం/ గోళం యొక్క వ్యాసార్థం = ∛4 : ∛3
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