Question
Download Solution PDFउंची 28 सेमी आणि त्रिज्या 10 सेमी असलेला वृत्तचित्ती वितळवून ते 4 चौरस पाया असलेली सूची तयार करतात प्रत्येकाची उंची H असते आणि प्रत्येक सूचिच्या पायाची लांबी समान असते. सूचीची उंची शोधा, जर त्याच्या पायाची लांबी 20 सेमी असेल.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFवृत्तचित्तीची उंची = 28 सेमी
वृत्तचित्तीची त्रिज्या = 10 सेमी
वृत्तचित्तीचे घनफळ = πr2h
⇒ 22/7 × 28 × 10 × 10
⇒ 8800 सेमी3
आता वृत्तचित्ती वितळला जाईल आणि समान घनफळाचे 4 कोणस्तूप तयार केले जातील.
प्रत्येक कोणस्तूपाचे घनफळ = 8800/4 = 2200 सेमी3
कोणस्तूपाचे घनफळ = (पाया × उंचीचे क्षेत्रफळ)/3
कोणस्तूपाच्या पायाची लांबी = 20 सेमी.
कोणस्तूपाच्या पायाचे क्षेत्रफळ = 20 × 20 = 400 सेमी2
⇒ 1/3 × H × 400 = 2200
⇒ H = 16.5 सेमी
Last updated on Jun 13, 2025
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