SarkariPYQ

SSC CGL 2025 PYQ — Question 63

SSC CGL - 19 Sep 2025 - Shift 3 • Quantitative Aptitude • Q63

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A solid hemisphere of radius R is melted and recast into n smaller hemisphere of radius r. Find the value of n.

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Correct answer: A

Explanation

The correct answer is option 1 i.e. (Rr\frac{R}{r})3.

Volume of solid hemisphere = (2/3)πR3

Volume of small hemisphere = (2/3)πr3

n=23πR323πr3=(Rr)3n=\frac{\frac{2}{3}\pi R^3}{\frac{2}{3}\pi r^3}=\left(\frac{R}{r} \right)^3