SSC Selection Post 2025 PYQ — Question 43

SSC Selection Post - Graduation Level - 29th August 2025 - Shift 1 • Quantitative Aptitude • Q43

Find the radius of a hemisphere whose volume is numerically equal to its total surface area.

Show answer & explanation

Correct answer: A

Explanation

Volume of hemisphere = (2/3)πr³

Total surface area of ​​hemisphere = 3πr²

(2/3)πr³ = 3πr²

2r/3 = 3

2r = 9

r = 9/2 = 4.5 units