SSC MTS 2022 PYQ — Question 69

SSC MTS - 21 July 2022 - Shift 2 • Quantitative Aptitude • Q69

The total surface area of a closed hemisphere is 4158. What is the diameter of the hemisphere? [Use  π=22/7]

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 42 cm.

The total surface area of a closed hemisphere = 4158

The total surface area of a closed hemisphere = 3πr2

3πr2 = 4158

⇒ 3 × 22/7 × r2 = 4158

⇒ r2 = 441

r = 21

d = 2r = 42