సిలిండర్ యొక్క పార్శ్వ వైశాల్యం 3168 సెం.మీ 2 మరియు దాని ఎత్తు 48 సెం.మీ. వాల్యూమ్ను కనుగొనండి.

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 5244 సెం.మీ 3
  2. 5544 సెం.మీ 3
  3. 5644 సెం.మీ 3
  4. 16632 సెం.మీ 3

Answer (Detailed Solution Below)

Option 4 : 16632 సెం.మీ 3
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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ఇచ్చిన :

సిలిండర్ యొక్క పార్శ్వ ఉపరితల వైశాల్యం = 3168 సెం.మీ 2

ఎత్తు = 48 సెం.మీ

వాడిన ఫార్ములా:

సిలిండర్ వాల్యూమ్ = πr 2 గం

వక్ర ఉపరితల వైశాల్యం od సిలిండర్ = 2πrh

లెక్కింపు :

⇒ 2πrh = 3168

⇒ 2 x 22/7 xrx 48 = 3168

⇒ r = 3168 x 7/(2 x 22 x 48)

⇒ r = 22176/2112

⇒ r = 10.5 సెం.మీ

వాల్యూమ్ = 22/7 x 10.5 x 10.5 x 48 = 16632 సెం.మీ 3

∴ సరైన సమాధానం 16632 cm 3 .

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