ఒక ఘనం భుజం పొడవు 5.6 సెం.మీ. ఘనం నుండి బయటకు తీయగలిగే అతిపెద్ద గోళం పరిమాణం ఎంత?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 1)
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  1. 91.98 సెం.మీ3
  2. 99.96 సెం.మీ3
  3. 96.98 సెం.మీ3
  4. 90.69 సెం.మీ3

Answer (Detailed Solution Below)

Option 1 : 91.98 సెం.మీ3
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Detailed Solution

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ఇచ్చిన సమస్య:

ఘనం భుజం పొడవు = 5.6 సెం.మీ

ఉపయోగించిన సూత్రం:

గోళం యొక్క ఘనపరిమాణం = (4/3) × π × r3

సాధన:

గోళం యొక్క వ్యాసం = ఘనం భుజం పొడవు

 ⇒ 2 × గోళం యొక్క వ్యాసార్థం = 5.6 సెం.మీ

⇒ గోళం యొక్క వ్యాసార్థం = 5.6/2 = 2.8 సెం.మీ

గోళం యొక్క ఘనపరిమాణం = (4/3) × (22/7) × (2.8)3

⇒ 88/21 × 21.952

⇒ 91.98

∴ ఘనం నుండి బయటకు తీయగల అతిపెద్ద గోళం పరిమాణం 91.98 సెం.మీ3.

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