14 सेमी व्यास आणि 24 सेमी उंचीचा एक शंकू 14 सेमी बाजूच्या घनाच्या वर ठेवला आहे. तर संपूर्ण आकृतीचे पृष्ठफळ शोधा.

This question was previously asked in
RRC Group D Previous Paper 7 (Held On: 25 Sep 2018 Shift 1)
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  1. 1675 चौ.सेमी
  2. 1900 चौ.सेमी
  3. 1572 चौ.सेमी
  4. 1726 चौ.सेमी

Answer (Detailed Solution Below)

Option 3 : 1572 चौ.सेमी
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Detailed Solution

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तिरकस उंची = √(उंची2 + त्रिज्या2 ) = √(242 + 72 ) = 25

शंकूचे वक्रपृष्ठफळ = π × त्रिज्या × तिरकस उंची = (22/7) × 7 × 25 = 550 चौ.सेमी

घनाचे पृष्ठफळ = 6 × बाजू2 = 6 × (14)2 = 1176 चौ.सेमी

परंतु शंकूच्या पायाने व्यापलेले काही क्षेत्रफळ = π × त्रिज्या2

⇒ (22/7) × 72 = 154 सेमी2

⇒ एकूण पृष्ठफळ = 550 + 1176 - 154 = 1,572 चौ.सेमी

F1 Vinanti SSC 05.09.22 D1

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