SSC GD 2023 PYQ — Question 43

SSC GD Constable (English) - 7 Feb 2023 - Shift 1 • Quantitative Aptitude • Q43

If the volume of a solid right circular cone is v cm3 and its height is h cm, then the radius of the cone is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. √3V/πh cm.

The volume of the cone = 1/3πr2h

⇒ V = 1/3 × π × r2 × h

⇒ 3V = π × r2 × h

⇒ r2 = 3V/πh

⇒ r = √3V/πh cm