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SSC CHSL 2025 PYQ — Question 68

SSC CHSL - 12 Nov 2025 - Shift 3 • Quantitative Aptitude • Q68

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A hemispherical shell has an inner radius of 12 cm and an outer radius of 13 cm. Calculate the volume of the material forming the shell.

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Correct answer: B

Explanation

Inner radius (r) = 12 cm
Outer radius (R) = 13 cm
Volume of the hemispherical shell =23π(R3−r3)= \frac{2}{3}\pi (R^3 - r^3)
R³ = 13³ = 2197
r³ = 12³ = 1728
R³ − r³ = 2197 − 1728 = 469
Volume =23π×469=938π3 cm3= \frac{2}{3}\pi \times 469 = \frac{938\pi}{3} \text{ cm}^3