Question
Download Solution PDFएक ठोस बेलन की ऊँचाई क्या है जिसकी त्रिज्या 7 सेमी है और कुल पृष्ठीय क्षेत्रफल 1144 सेमी2 है?
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
r = 7 सेमी
कुल पृष्ठीय क्षेत्रफल = 1144 सेमी²
प्रयुक्त सूत्र:
बेलन का कुल पृष्ठीय क्षेत्रफल = 2πr(h + r)
गणना:
सूत्र में इन मानों को प्रतिस्थापित कीजिए
⇒ 1144 = 2 × (22/7) × 7 × (h + 7)
समीकरण को हल कीजिए:
⇒ 1144 = 44 × (h + 7)
दोनों पक्षों को 44 से भाग दीजिए
⇒ 1144 / 44 = h + 7
⇒ 26 = h + 7
अंत में, h के लिए हल कीजिए:
⇒ h = 26 - 7 = 19 सेमी
अतः, बेलन की ऊँचाई 19 सेमी है।
Last updated on Jun 26, 2025
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