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SSC CPO 2025 PYQ — Question 107

SSC CPO - 9 Dec 2025 - Shift 2 • Quantitative Aptitude • Q107

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A solid metal sphere that has a radius of 12 centimeters is melted down and reshaped into smaller spheres, each with a radius of 2 centimeters. How many smaller spheres can be created from this material?

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Correct answer: A

Explanation

Radius of the large sphere = 12 cm

Radius of the small sphere = 2 cm

Volume of a sphere = (4/3)πr³

Volume of the large sphere =43π(12)3= \frac{4}{3}\pi (12)^3

Volume of the small sphere =43π(2)3= \frac{4}{3}\pi (2)^3

Number of spheres =12323=17288=216= \frac{12^3}{2^3} = \frac{1728}{8} = 216