SSC Selection Post 2025 PYQ — Question 28

SSC Selection Post - Matriculation Level - 31st July 2025 - Shift 1 • Quantitative Aptitude • Q28

The total surface area of ​​a hemisphere is 4158 m². If the radius of the hemisphere becomes one-third of its original size, what will be the new curved surface area of ​​the hemisphere?

(Use π = 22/7)

Show answer & explanation

Correct answer: A

Explanation

Total surface area of ​​the hemisphere = 3πr² = 4158

πr² = 4158/3 = 1386

New radius = r/3

New curved surface area = 2π(r/3)²

= 2πr²/9

= 2 × 1386 / 9

= 308 m²