ఒక ఘనం యొక్క ఘనపరిమాణం 72.9% కు తగ్గించబడింది. అయితే ఘనం యొక్క భుజం ఎంత తగ్గించబడింది?

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 02 Jul, 2024 Shift 2)
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  1. 10%
  2. 8.5%
  3. 9%
  4. 9.5%

Answer (Detailed Solution Below)

Option 1 : 10%
Free
SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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ఇచ్చినవి:

మూల ఘనపరిమాణ శాతం = 100%

తగ్గించబడిన ఘనపరిమాణ శాతం = 72.9%

ఉపయోగించిన సూత్రం:

ఘనం యొక్క ఘనపరిమాణం = భుజం3

భుజం x% తగ్గితే, ఘనపరిమాణం (1 - x/100)3 తగ్గుతుంది

గణన:

మూల భుజం S అని అనుకుందాం.

తగ్గించబడిన ఘనపరిమాణం = (0.729) x S3

కొత్త భుజం S' అని అనుకుందాం

S'3 = 0.729 x S3

⇒ (S'/S)3 = 0.729

⇒ S'/S = 0.9

⇒ S' = 0.9S

ఘనం యొక్క భుజం 10% తగ్గించబడింది.

∴ సరైన సమాధానం 10%.

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