വൃത്തസ്തൂപികയുടെ ചരിവ് 15 സെൻ്റീമീറ്ററും വൃത്തസ്തൂപികയുടെ ഉയരം12 സെൻ്റീമീറ്ററുമാണ്. വൃത്തസ്തൂപികയുടെ ആകെ ഉപരിതല വിസ്തീർണ്ണം

  1. 180π സെ.മീ2
  2. 340π സെ.മീ2
  3. 216π സെ.മീ2
  4. 220π സെ.മീ2

Answer (Detailed Solution Below)

Option 3 : 216π സെ.മീ2
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Detailed Solution

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നൽകിയിരിക്കുന്നത് :

വൃത്തസ്തൂപികയുടെ ചരിവ് ഉയരം l = 15 സെ.മീ

വൃത്തസ്തൂപികയുടെ ഉയരം h = 12 സെ.മീ

സൂത്രവാക്യം:

വൃത്തസ്തൂപികയുടെ ആകെ ഉപരിതല വിസ്തീർണ്ണം = (r (r + l)

l 2 = h 2 + r 2

കണക്കുകൂട്ടൽ:

l2 = h2 + r2

⇒ 152 = r2 + 122

⇒ 225 = r2 + 144

⇒ r2 = 225 - 144

⇒ r = √81

⇒ r = 9

∴ വൃത്തസ്തൂപികയുടെ ആകെ ഉപരിതല വിസ്തീർണ്ണം = × × 9 × (9 + 15) = × × 9 × 24 = 216π സെ.മീ2
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