SSC CHSL 2025 PYQ — Question 59

SSC CHSL - 24 Nov 2025 - Shift 1 • Quantitative Aptitude • Q59

A conical flask is perfectly fitted inside a cylindrical container. Both have a base radius of 5 cm and height 12 cm. What is the ratio of the cone's volume to that of the cylinder?

Show answer & explanation

Correct answer: B

Explanation

Given:

Radius = 5 cm

Height = 12 cm

By the formula:

Volume of the cone = (1/3)πr²h

Volume of the cylinder = πr²h

Cone : cylinder = (1/3)πr²h : πr²h

= 1/3 : 1

= 1 : 3