SSC CPO 2024 PYQ — Question 150

SSC CPO - 29 June 2024 - Shift 1 • Quantitative Aptitude • Q150

A cone of slant height 4.2 units has a lateral surface area 13.2 units2 . The radius of the base is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 1 units.

Given that, slant height, l = 4.2 units

Lateral surface area, LSA = 13.2 units2 

LSA of cone = πrl\pi rl

According to the given question,

LSA = 13.2

⇒ πrl\pi rl = 13.2

⇒ 227×r×4.2{22 \over 7} \times r \times 4.2 = 13.2

⇒ r = 1 unit

Hence the radius of the base of the cone is 1 unit.