SSC CHSL Tier-1 previous year question
A sphere is melted into a cylinder with radius twice the sphere's radius. If cylinder height is h and sphere radius is r, find h:r.
Asked in SSC CHSL Tier-1 (14 Nov 2025 Shift 2) · Quantitative Aptitude
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Correct answer: (B) 1:3
Sphere volume=(4/3)πr³ = cylinder volume=π(2r)²h=4πr²h. So h=(4/3)πr³/(4πr²)=r/3 → h:r=1:3.
हिंदी में प्रश्न
एक गोले को पिघलाकर एक बेलन बनाया गया है जिसकी त्रिज्या गोले की त्रिज्या की दोगुनी है। यदि बेलन की ऊँ चाई h है और गोले की त्रिज्या r है, तो h:r ज्ञात कीजिए।
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सही उत्तर: (B) 1:3
गोले का आयतन=(4/3)πr³ = बेलन का आयतन=4πr²h। अतः h=r/3 → h:r=1:3.
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