SSC CHSL 2025 PYQ — Question 55

SSC CHSL - 20 Nov 2025 - Shift 1 • Quantitative Aptitude • Q55

The volume of a cone is 462 cm³, and its height is 14 cm. Find the radius of the base.

Show answer & explanation

Correct answer: C

Explanation

Given:

Volume of the cone = 462 cm³

Height = 14 cm

By the formula:

Volume of the cone = (1/3)πr²h

(1/3) × π × r² × 14 = 462

π × r² × 14 = 1386

(22/7) × r² × 14 = 1386

44r² = 1386

r² = 31.5

r = √31.5 approximately 5.61 cm