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SSC CPO 2025 PYQ — Question 133

SSC CPO - 11 Dec 2025 - Shift 1 • Quantitative Aptitude • Q133

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How many 2 cm radius spheres can be formed by melting and recasting a single 6 cm radius sphere?

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Correct answer: A

Explanation

Radius of the large sphere = 6 cm, Radius of the small sphere = 2 cm

According to the formula:

Volume of a sphere = V=43πr3V = \frac{4}{3}\pi r^3

Number of spheres = (6³) / (2³) = 216 / 8 = 27