SSC GD 2023 PYQ — Question 48

SSC GD Constable (English) - 24 Jan 2023 - Shift 1 • Quantitative Aptitude • Q48

The total surface area of a hemisphere is 4158 cm2. The radius of the hemisphere is:

(use π\pi = 227\frac{22}{7})

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 21 cm

Formula used

The total surface area of the hemisphere is 3πr2.

r = radius of the hemisphere

Given that

Total surface area = 4158 cm2

Calculations

 3πr2 = 3 × 22/7 × r2 = 4158

 r2 = 4158 × 7/66

r = 21 cm