14 सेमी त्रिज्या असलेल्या गोलाच्या आकाराचा चेंडू रंगवण्याची किंमत शोधा. चेंडूच्या पेंटिंगची किंमत 5 रुपये प्रति चौरस सेंटीमीटर ( π = 22/7 घ्या).

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 08 Jul, 2024 Shift 4)
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  1. 12,320 रुपये
  2. 12,230 रुपये
  3. 13,220 रुपये
  4. 13,022 रुपये

Answer (Detailed Solution Below)

Option 1 : 12,320 रुपये
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SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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दिलेल्याप्रमाणे:

गोळ्याची त्रिज्या (r) = 14 सेमी

पेंटिंगची किंमत प्रति चौरस सेंटीमीटर = 5 रुपये

वापरलेले सूत्र:

गोळ्याचे पृष्ठभागाचे क्षेत्रफळ = 4πr2

एकूण किंमत = पृष्ठभाग क्षेत्रफळ × चित्रकला किंमत प्रति चौरस सेंटीमीटर

गणना:

गोळ्याच्या पृष्ठभागाचे क्षेत्रफळ = 4πr2

⇒ पृष्ठभागाचे क्षेत्रफळ = 4 × (22/7) × 142

⇒ पृष्ठभागाचे क्षेत्रफळ = 4 × (22/7) × 196

⇒ पृष्ठभागाचे क्षेत्रफळ = 4 × 22 × 28

⇒ पृष्ठभागाचे क्षेत्रफळ = 2464 सेमी 2

एकूण किंमत = पृष्ठभाग क्षेत्र × चित्रकला किंमत प्रति चौरस सेंटीमीटर

⇒ एकूण किंमत = 2464 × 5

⇒ एकूण खर्च = 12,320 रुपये

चेंडू रंगवण्याची किंमत 12,320 रुपये आहे.

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