SSC GD 2023 PYQ — Question 48

SSC GD Constable (English) - 7 Feb 2023 - Shift 2 • Quantitative Aptitude • Q48

The total surface area of a sphere is 22176 cm2. The diameter of the sphere is:

(use π\pi = 227\frac{22}{7})

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 84 cm.

T.S.A of sphere = 4πr2

⇒ 22176 = 4 × 22/7 × r2

⇒ r2 = (22176 × 7)/(4 × 22)

⇒ r2 = 1764

⇒ r = 42

Diameter = 2 × radius

Diameter = 42 × 2 = 84 cm