భుజం 21 సెం.మీ.గా ఉన్న ఘనం నుండి చెక్కబడిన అతిపెద్ద గోళం యొక్క ఘనపరిమాణం కనుగొనండి.

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  1. 4851 సెం.మీ.3
  2. 4158 సెం.మీ.3
  3. 5841 సెం.మీ.3
  4. 8514 సెం.మీ.3

Answer (Detailed Solution Below)

Option 1 : 4851 సెం.మీ.3
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Detailed Solution

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ఇవ్వబడినది:

ఘనం యొక్క భుజం = 21 సెం.మీ.

ఉపయోగించవలసిన సూత్రం:

గోళం యొక్క ఘనపరిమాణం = 4/3πr3

గణన (లెక్కింపు):

భుజం 21 సెం.మీ.గా ఉన్న ఘనం నుండి చెక్కబడిన గోళం యొక్క వ్యాసార్థం 21 సెం.మీ.

గోళం యొక్క ఘనపరిమాణం = 21/2 సెం.మీ.  

ఘనం యొక్క ఘనమపరిమాణం = 4/3 × 22/7 × 21/2 × 21/2 × 21/2 

⇒ 11 × 21 × 21 

⇒ 4851 సెం.మీ.3

∴ కావలసిన ఫలితం 4851 సెం.మీ.3.

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