SSC CGL 2025 PYQ — Question 64

SSC CGL - 18 Sep 2025 - Shift 3 • Quantitative Aptitude • Q64

The inner and outer radius of a hollow hemispherical shell are 7 cm and 14 cm respectively. Find the approximate volume of the metal used.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 5026.09 cm3.

Volume of a hollow hemisphere =23π(R3−r3)= \frac{2}{3} \pi \left(R^3-r^3 \right)

Here, R = 14 cm and r = 7 cm

Volume of metal =23π(143−73)= \frac{2}{3} \pi \left(14^3-7^3 \right)

=23π(2744−343)= \frac{2}{3} \pi \left(2744-343 \right)

= 2/3 × 3.14 × 2401

= 5026.09 cm3