SSC MTS 2024 PYQ — Question 16

SSC MTS - 22/10/2024 - (4:00 PM - 5:30 PM) • Quantitative Aptitude • Q16

If the total surface area of a hemisphere is 1848 m2, then the diameter (in m) of the hemisphere is: (Use π = 22/7).

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 28.

Total surface area of a hemisphere = 3πr2

⇒ 3 × (22/7) × r2 = 1848

⇒ (66/7) × r2 = 1848

⇒ 66 × r2 = 12936

r2 = 12936 / 66 = 196

So, r = √196 = 14

Diameter = 2 × r = 2 × 14 = 28 m