Question
Download Solution PDF21 सेमी त्रिज्या असलेला घन धातूचा गोळा वितळला जातो आणि लहान समवृत्त गोलाकार शंकू तयार केला जातो ज्याची प्रत्येक त्रिज्या 7 सेमी आणि उंची 3 सेमी आहे. अशा शंकूंची संख्या किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
गोळ्याची त्रिज्या = 21 सेमी
लहान शंकूच्या पायाची त्रिज्या = 7 सेमी
लहान शंकूची उंची = 3 सेमी
वापरलेले सूत्र:
गोळ्याचे घनफळ = (4/3) × π × r3
शंकूचे घनफळ = (1/3) × π × r2 × h
जेथे r = त्रिज्या आणि h = शंकूची उंची
गणना:
लहान शंकूंची संख्या = N
प्रत्येक लहान शंकूचे घनफळ × N = गोळ्याचे घनफळ
⇒ N × (1/3) × π × r2 × h = (4/3) × π × r3
⇒ N × (7)2 × 3 = 4 × (21)3
⇒ N = 4 × 3 × 3 × 7
⇒ N = 252
∴ योग्य उत्तर 252 आहे.
Last updated on Jul 8, 2025
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