Question
Download Solution PDF3 एकक त्रिज्येच्या धातूच्या गोळ्याला वितळवून 26 सारखे बाजू असलेले फासे आणि 1 एकक त्रिज्येचा एक गोळा बनवला जातो. फाश्याची बाजू किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
3 एकक त्रिज्येच्या धातूच्या गोळ्याला वितळवून 26 सारखे बाजू असलेले फासे आणि 1 एकक त्रिज्येचा एक गोळा बनवला जातो.
वापरलेले सूत्र:
गोलाचे घनफळ = (4/3)πr3
घनाचे घनफळ = a3
गणना:
मूळ गोळ्याचे घनफळ = 1 गोळ्याचे घनफळ + 26 घनांचे घनफळ
⇒ (4/3) π (3)3 = (4/3) π (1)3 + 26 × a3
⇒ (4/3) π (3)3 - (4/3) π (1)3 = 26 × a3
⇒ (4/3) π × 27 - (4/3) π × 1 = 26 × a3
⇒ (4/3) π (27 - 1) = 26 × a3
⇒ (4/3) π × 26 = 26 × a3
⇒ (4/3) π = a3
⇒ a3 = 4/3 × 22/7 = 88/21 = 4.19
⇒ a = 3√ 4.19 ≈ 1.6 एकक
∴ योग्य उत्तर पर्याय (4) आहे.
Last updated on Jun 17, 2025
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