14 సెం.మీ ఎత్తు ఉన్న ఒక స్తూపం యొక్క వక్రతల వైశాల్యం 528 సెం.మీ2. ఆ స్తూపం యొక్క ఘనపరిమాణం:

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RRB NTPC CBT-I Official Paper (Held On: 28 Dec 2020 Shift 1)
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  1. 1244 సెం.మీ3
  2. 792 సెం.మీ3
  3. 1584 సెం.మీ3
  4. 2538 సెం.మీ3

Answer (Detailed Solution Below)

Option 3 : 1584 సెం.మీ3
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Detailed Solution

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ఇవ్వబడింది:

స్తూపం యొక్క వక్రతల వైశాల్యం = 528 సెం.మీ2

ఎత్తు = 14 సెం.మీ

ఉపయోగించిన సూత్రాలు:

వక్రతల వైశాల్యం = 2πRH

ఘనపరిమాణం = πR2H

గణన:

వక్రతల వైశాల్యం = 528 = 2 x 22/7 x R x 14

⇒ R = 6 సెం.మీ

స్తూపం యొక్క ఘనపరిమాణం = 22/7 x 6 x 6 x 14 = 1584 సెం.మీ3

∴ స్తూపం యొక్క ఘనపరిమాణం = 1584 సెం.మీ3

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