Question
Download Solution PDFएका लंब वृत्तचितीचे आणि एका गोलाचे वक्र पृष्ठफळ समान आहे. जर गोलाची आणि वृत्तचितीची त्रिज्या अनुक्रमे 2 आणि 3 असल्यास, वृत्तचितीचे एकूण पृष्ठफळ शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
गोलाची त्रिज्या, r = 2
वृत्तचितीची त्रिज्या, R = 3
लंब वृत्तचितीचे वक्र पृष्ठफळ = गोलाचे वक्र पृष्ठफळ
वापरलेले सूत्र:
वृत्तचितीचे वक्र पृष्ठफळ = 2πRh
गोलाचे वक्र पृष्ठफळ = 4πr2
जेथे r = गोलाची त्रिज्या , R = वृत्तचितीची त्रिज्या
आणि, h = वृत्तचितीची उंची
गणना:
प्रश्नानुसार
⇒ 2πRh = 4πr2
⇒ 2π × (3) × h = 4π × (2)2
⇒ h = 8/3
वृत्तचितीचे एकूण पृष्ठफळ = 2πR(R + h)
⇒ 2π(3)(3 + 8/3) = 34π एकक
∴ 34π एकक हे बरोबर उत्तर आहे.
Last updated on Jul 14, 2025
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