Question
Download Solution PDFदो बेलनों की त्रिज्या 1 ∶ 4 के अनुपात में हैं और उनकी ऊँचाई 4 ∶ 3 के अनुपात में हैं। उनके आयतन का अनुपात कितना होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दो बेलनों की त्रिज्या का अनुपात = 1 : 4
दो बेलनों की ऊँचाई का अनुपात = 4 : 3
प्रयुक्त सूत्र:
बेलन का आयतन = πr2h [जहाँ r = आधार की त्रिज्या तथा h = ऊँचाई]
गणना:
मान लें कि दो बेलनों की त्रिज्या x और 4x हैं और उनकी ऊँचाई 4y और 3y हैं।
पहले बेलन का आयतन : दूसरे बेलन का आयतन = πx2 × 4y : π(4x)2 × 3y
⇒ 4x2y : 48x2y
⇒ 1 : 12
∴ इनका आयतन 1 : 12 के अनुपात में होगा।
Last updated on Jul 9, 2025
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