SSC CPO 2025 PYQ — Question 96

SSC CPO - 12 Dec 2025 - Shift 2 • Quantitative Aptitude • Q96

A cone is cut parallel to its base at half its height. What is the ratio of volumes of the two parts?

Show answer & explanation

Correct answer: A

Explanation

Cut at half the height ⇒ Height of the smaller cone = H/2

Volume = (Height)³

Small : Large = (1/2)³ = 1 : 8

Frustum = Large − Small = 8 − 1 = 7

Small : Frustum = 1 : 7