SSC CHSL Tier-1 previous year question
A cone is inscribed in a hemisphere of radius r, sharing the same base and apex at the center of the flat face's opposite point. Find the ratio of the cone's volume to the hemisphere's volume.
Asked in SSC CHSL Tier-1 (15 Nov 2025 Shift 1) · Quantitative Aptitude
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Correct answer: (A) 1:2
Cone volume=(1/3)πr²h where h=r, giving (1/3)πr³. Hemisphere volume=(2/3)πr³. Ratio=(1/3)/(2/3)=1:2.
हिंदी में प्रश्न
त्रिज्या r वाले एक अर्धगोले में समान आधार वाला एक शंकु निहित है। शंकु के आयतन और अर्धगोले के आयतन का अनुपात ज्ञात कीजिए।
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सही उत्तर: (A) 1:2
शंकु का आयतन=(1/3)πr³। अर्धगोले का आयतन=(2/3)πr³। अनुपात=1:2.
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