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SSC CGL 2025 PYQ — Question 61

SSC CGL - 15 Sep 2025 - Shift 1 • Quantitative Aptitude • Q61

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How many hemispheres with a radius of 4 cm can be produced by melting down a hemisphere with a radius of 16 cm?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 64.

Volume of larger hemisphere = n × Volume of smaller hemisphere

where n is number of new hemispheres produced.

⇒ 23π(16)3=n×23π(4)3\frac{2}{3} \pi (16)^3 = n \times \frac{2}{3} \pi (4)^3

⇒ n = 256/4

⇒ n = 64