The ratio of radii of a cylinder to a cone is 3 ∶ 1. If their heights are equal. What is the ratio of their volumes?

Question

Question

This question was previously asked in

SSC CHSL Memory Based Test (Held on: 7 August 2023 Shift 1)

Answer 1

Given data:

Ratio of radii of cylinder to cone = 3 ∶ 1

Heights of cylinder and cone are equal

Concept: The volume of a cylinder and cone given by Vcyl = πr²h and Vcone = 1/3 πr²h respectively

Solution:

⇒ Volume ratio = Vcyl/Vcone = (π × 3² × h)/(1/3 π × 1² × h)

⇒ 3 × 3² : 1

⇒ Volume ratio = 27 ∶ 1

Therefore, the ratio of the volume of the cylinder to the cone is 27 : 1.