Question
Download Solution PDFत्रिज्या के बराबर ऊँचाई और 5 सेमी तिर्यक ऊँचाई वाले एक शंकु का आयतन क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
शंकु की त्रिज्या और ऊँचाई समान है।
तिर्यक ऊँचाई = 5 सेमी
प्रयुक्त सूत्र:
शंकु का आयतन = (1/3) π r2 h
तिर्यक ऊँचाई = √(h2 + r2)
जहाँ,
r = शंकु की त्रिज्या
h = शंकु की ऊँचाई
l = तिर्यक ऊँचाई
गणना:
माना शंकु की त्रिज्या और ऊँचाई x है।
5 = √(x2 + x2)
x = 5/√2
शंकु का आयतन = (1/3) π r2 h
⇒ (1/3) × π × (5/√2)2 × 5/√2
⇒ (1/3) × π × (25/2) × 5/√2
⇒ 125π /6√2 सेमी3
शंकु का आयतन 125π /6√2 सेमी3 है।
Last updated on Jul 12, 2025
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