Question
Download Solution PDFत्रिज्या \(15√ 3\) सेमीचा लाकडी गोल आहे. गोलातून कापलेल्या सर्वात मोठ्या संभाव्य घनाचे एकूण पृष्ठभाग क्षेत्रफळ असेल:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे :
गोलाची त्रिज्या, r = 15√3 सेमी
संकल्पना:
घनाचे एकूण पृष्ठभाग क्षेत्रफळ = 6 × (कडेची लांबी)2.
घनाच्या मुख्य कर्णाची लांबी = (कडेची लांबी)√3
निरसन:
गोलाचा व्यास = घनाच्या मुख्य कर्णाची लांबी.
2 × \(15√ 3\) = a√3
a = 30 सेमी
घनाचे एकूण पृष्ठभागाचे क्षेत्रफळ = 6 × (कडेची लांबी)2
घनाचे एकूण पृष्ठभागाचे क्षेत्रफळ = 6 × (30)2 = 5400 सेमी2.
म्हणून, गोलातून कापलेल्या सर्वात मोठ्या संभाव्य घनाचे एकूण पृष्ठभागाचे क्षेत्रफळ 5400 सेमी2 असेल.
Last updated on Jun 12, 2025
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