SSC GD 2025 PYQ — Question 48

SSC GD Const 2025 (English) - 19 Feb 2025 - Shift 2 • Quantitative Aptitude • Q48

The curved surface area of a sphere is 9856 cm2 , find its diameter in m.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 0.56

Curved surface area of sphere = 4 × π × r²

4 × (22/7) × r² = 9856

r² = 9856 × 7 ÷ (4 × 22)

r² = 68992 ÷ 88

r² = 784

r = √784 = 28 cm

Diameter = 2 × r = 2 × 28 = 56 cm = 56 ÷ 100 = 0.56 m