10.5 സെ.മീ ഉയരമുള്ള ഒരു കോണിന്റെ (വൃത്തസ്തൂപിക) ഖണ്ഡത്തിന്റെ രണ്ട് വൃത്താകൃതിയിലുള്ള മുഖങ്ങളുടെ ആരങ്ങൾ യഥാക്രമം 5 സെ.മീ ഉം 3 സെ.മീ ഉം ആണ്. അതിന്റെ വ്യാപ്തം cm3 ൽ എത്രയാണ് (π = 22/7)?

This question was previously asked in
SSC CGL Previous Paper 59 (Held On: 12 June 2019 Shift 2)
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  1. 539
  2. 545
  3. 564
  4. 552

Answer (Detailed Solution Below)

Option 1 : 539
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ഒരു കോണിന്റെ (വൃത്തസ്തൂപിക) ഖണ്ഡത്തിന്റെ രണ്ട് വൃത്താകൃതിയിലുള്ള മുഖങ്ങളുടെ ആരങ്ങൾ യഥാക്രമം 5 സെ.മീ ഉം 3 സെ.മീ ഉം ആണ്. 

കോൺ H ന്റെ വൃത്താകൃതിയിലുള്ള ഖണ്ഡത്തിന്റെ ഉയരം = 10.5 സെ.മീ.

നമുക്കറിയാവുന്നതുപോലെ,

കോണിന്റെ ഖണ്ഡത്തിന്റെ വ്യാപ്തം = 1/3 × π [R 2 + r 2 + Rr] H

⇒ 1/3 × 22/7 × [5 2 + 3 2 + 5 × 3] × 10.5

⇒ 11 × [25 + 9 + 15]

⇒ 11 × 49

⇒ 539 ⇒ 539 
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