ഒരു വൃത്തസ്തംഭത്തിന് 14 സെ.മീ ഉയരവും അതിന്റെ വക്ര ഉപരിതല വിസ്തീർണ്ണം 528 സെ.മീ2 ഉം ആണ്. സിലിണ്ടറിന്റെ വ്യാപ്തം ഇതാണ്:

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  1. 1244 cm3
  2. 792 cm3
  3. 1584 cm3
  4. 2538 cm3

Answer (Detailed Solution Below)

Option 3 : 1584 cm3
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RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
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Detailed Solution

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നൽകിയിരിക്കുന്നത്:

വൃത്തസ്തംഭത്തിന്റെ വക്ര ഉപരിതല വിസ്തീർണ്ണം = 528 സെ.മീ2

ഉയരം = 14 സെ.മീ

ഉപയോഗിച്ച സൂത്രവാക്യങ്ങൾ:

വക്ര ഉപരിതല വിസ്തീർണ്ണം = 2πRH

വ്യാപ്തം = πR2H

കണക്കുകൂട്ടല്‍:

CSA = 528 = 2 × 22/7 × R × 14

⇒ R = 6 cm

വൃത്തസ്തംഭത്തിന്റെ വ്യാപ്തം = 22/7 × 6 × 6 × 14 = 1584 സെ.മീ 3

∴ വൃത്തസ്തംഭത്തിന്റെ വ്യാപ്തം = 1584 സെ.മീ 3

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