AP Police SI previous year question
A circular sheet of radius r is divided into 4 equal sectors, one removed, and the rest folded into a cone whose base perimeter is ¾ of the original circle's perimeter. The ratio of slant height to base radius of the cone is
Asked in AP Police SI Prelims: 2023 (Paper I & II) · Quantitative Aptitude
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Correct answer: (A) 4:3
Base circumference = ¾(2πr) = 2πR → R = ¾r. Slant height = r (original radius). Ratio = r : (¾r) = 4:3.
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हिंदी में प्रश्न
त्रिज्या r की एक वृत्ताकार चादर को 4 बराबर त्रिज्यखंडों में बाँटा जाता है, एक त्रिज्यखंड हटा दिया जाता है, और शेष को मोड़कर एक शंकु बनाया जाता है जिसके आधार का परिमाप मूल वृत्त के परिमाप का ¾ है। शंकु की तिर्यक ऊँचाई और आधार त्रिज्या का अनुपात है
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सही उत्तर: (A) 4:3
आधार की परिधि = ¾(2πr) = 2πR → R = ¾r। तिर्यक ऊंचाई = r (मूल त्रिज्या)। अनुपात = r : (¾r) = 4:3।
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