స్థూపం యొక్క ఎత్తు మరియు వక్ర ఉపరితల వైశాల్యం వరుసగా 10 సెం.మీ మరియు 440 సెంమీ2 . స్థూపం యొక్క వ్యాసం:

  1. 14 సెం.మీ
  2. 21 సెం.మీ
  3. 42 సెం.మీ
  4. 7 సెం.మీ

Answer (Detailed Solution Below)

Option 1 : 14 సెం.మీ
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Detailed Solution

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ఇవ్వబడింది:

స్థూపం యొక్క ఎత్తు = 10 సెం.మీ

స్థూపం యొక్క వక్ర ఉపరితల వైశాల్యం = 440 సెం.మీ2

సూత్రం:

స్థూపం యొక్క వక్ర ఉపరితల వైశాల్యం = 2πrh

లెక్క:

ప్రశ్న ప్రకారం

2πrh = 440

⇒ 2 × (22/7) × r × 10 = 440

⇒ r = 440 × (7/440)

⇒ r = 7 సెం.మీ

∴ స్థూపం యొక్క వ్యాసం = 2 × 7 = 14 సెం.మీ

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