SSC CHSL 2025 PYQ — Question 58

SSC CHSL - 15 Nov 2025 - Shift 3 • Quantitative Aptitude • Q58

If a cone is inscribed inside a cylinder of the same base and height, what is the ratio of the volume of the cone to that of the cylinder?

Show answer & explanation

Correct answer: D

Explanation

Given:

Base radius of the cone and cylinder = r

Height of the cone and cylinder = h

By formula:

Volume of the cylinder = πr²h

Volume of the cone = (1/3)πr²h

Cone : cylinder = (1/3)πr²h : πr²h = 1 : 3