SSC CPO 2023 PYQ — Question 121

SSC CPO - 03 Oct 2023 - Shift 2 • Quantitative Aptitude • Q121

The volume of a right circular cone having a base diameter of 14 cm is 196π cm3 .Find the perpendicular height of this cone

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 12 cm.

The volume of a right circular cone = 196π cm3

Diameter = 14 cm:

Volume of cone = (1/3)πr2h

⇒ Volume of cone = (1/3) × (22/7) × 72 × h

⇒ 196π = (1/3) × (22/7) × 72 × h

⇒ h = 12 cm