Question
Download Solution PDF4 सेमी त्रिज्येच्या शिशाचा गोलार्ध 72 सेमी उंचीच्या उजव्या गोलाकार शंकूमध्ये टाकला जातो.तर मग शंकूच्या तळाची त्रिज्या किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले :
4 सेमी त्रिज्येच्या शिशाचा गोलार्ध 72 सेमी उंचीच्या उजव्या गोलाकार शंकूमध्ये टाकला जातो.
वापरलेली पद्धत :
1. गोलार्धाचे घनफळ =
2. शंकूचे घनफळ =
3. गोलार्धाचे घनफळ शंकूच्या घनफळाच्या समान असणे आवश्यक आहे.
गणना:
गोलार्धाचे घनफळ = = सेमी3
उजव्या वर्तुळाकार शंकूच्या तळाची त्रिज्या R सेमी मानू.
संकल्पनेनुसार,
=
⇒ R2 = 16/9
⇒ R = 4/3
⇒ R ≈ 1.33
∴ शंकूच्या तळाची त्रिज्या 1.33 सेमी आहे.
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