SarkariPYQ

SSC CHSL 2025 PYQ — Question 67

SSC CHSL - 13 Nov 2025 - Shift 2 • Quantitative Aptitude • Q67

Back to paper

The total surface area of a solid hemisphere is 300π cm². Find its volume.

Show answer & explanation

Correct answer: D

Explanation

Total surface area of ​​hemisphere = 300π cm²
Total surface area of ​​hemisphere = 3πr²
3πr² = 300π
r² = 100
r = 10 cm
Volume of hemisphere =23πr3= \frac{2}{3}\pi r^3
Volume of hemisphere =23π×103=2000π3 cm3= \frac{2}{3}\pi \times 10^3 = \frac{2000\pi}{3} \text{ cm}^3