SSC GD 2025 PYQ — Question 48

SSC GD Const 2025 (English) - 10 Feb 2025 - Shift 2 • Quantitative Aptitude • Q48

Find the volume of a hemisphere of radius 63\sqrt3 cm.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 4323\sqrt3π cm3.

Volume of a hemisphere = (2/3) × π × r³

r = 6√3 cm

r³ = (6√3)³ = 216 × √3 = 648√3

So, Volume = (2/3) × π × 648√3

= (2 × 648√3 × π) / 3 = 1296√3 π / 3

= 432π√3 cm³