ഒരു ഗോളത്തിന്റെ ആരം പകുതിയായാൽ, പുതിയ വ്യാപ്തം   ________യഥാർത്ഥ വ്യാപ്തം ആയി മാറും.

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RRB Group D 16 Sept 2022 Shift 3 Official Paper
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  1. \(\frac{1}{4}\) മടങ്ങ് 
  2. മടങ്ങ് 
  3. മടങ്ങ് 
  4. \(\frac{1}{8}\) മടങ്ങ് 

Answer (Detailed Solution Below)

Option 4 : \(\frac{1}{8}\) മടങ്ങ് 
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Detailed Solution

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ഉപയോഗിച്ച സൂത്രവാക്യം:

ഗോളത്തിന്റെ വ്യാപ്തം = \(\frac{4}{3}πr³\)

കണക്കുകൂട്ടൽ:

ആരം പകുതിയായി അതായത്, പുതിയ ആരം = \(\frac{r}{2}\)

അപ്പോൾ, പുതിയ വ്യാപ്തം 

\((\frac{4}{3})π(\frac{r}{2})³\)

\((\frac{4}{3})(πr³)(\frac{1}{8})\)

\(\frac{Volume}{8}\)

അതിനാൽ, വ്യാപ്തം \(\frac{1}{8}\) മടങ്ങ് ആകും.

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