SSC CPO 2025 PYQ — Question 88

SSC CPO - 13 Dec 2025 - Shift 1 • Quantitative Aptitude • Q88

The curved surface area of ​​a cone is 60π square centimeters, and its slant height is 10 centimeters. Find its height.

Show answer & explanation

Correct answer: C

Explanation

CSA = 60π cm²

l = 10 cm

CSA = πrl

h = √(l² − r²)

πr × 10 = 60π

⇒ r = 6

h = √(10² − 6²)

= √(100 − 36)

= √64

= 8 cm